Inside Meghan Markle and Prince Harry's first week as parents

Meghan Markle and Prince Harry are having a "magical" time as new parents, a source tells ET.

Meghan and Harry welcomed their first child together, son Archie, on May 6. Our source says the couple is enjoying parenthood and will be receiving more visitors this week, including Harry's brother, Prince William, sister-in-law Kate Middleton and his father, Prince Charles. Harry's grandparents, Queen Elizabeth and Prince Philip, have already met the baby, as has Meghan's mother, Doria Ragland.

"The Duke and Duchess of Cambridge and the Prince of Wales, who was on a diplomatic trip to Germany following the birth, will be visiting baby Archie early this week," the source says. "Meghan’s friends, including [her makeup artist] Daniel Martin and [her best friend] Jessica Mulroney, are expected to visit the new family in the coming weeks."

The royal source says 34-year-old Harry -- who proudly wore a jacket reading "Daddy" at an Invictus Games event last Thursday -- is particularly reveling in the "joys of fatherhood," and has "already changed his first nappy."

Harry is "sharing parenting equally" and "loving it," the source says.

25 PHOTOS
First photos of Baby Sussex
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First photos of Baby Sussex
Britain's Prince Harry, Duke of Sussex (R), and his wife Meghan, Duchess of Sussex, pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
WINDSOR, ENGLAND - MAY 08: Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex, pose with their newborn son during a photocall in St George's Hall at Windsor Castle on May 8, 2019 in Windsor, England. The Duchess of Sussex gave birth at 05:26 on Monday 06 May, 2019. (Photo by Dominic Lipinski - WPA Pool/Getty Images)
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
EMBARGOED to 1240 WEDNESDAY MAY 08 2019. The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
Britain's Prince Harry, Duke of Sussex (R), and his wife Meghan, Duchess of Sussex, pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
Britain's Prince Harry, Duke of Sussex (R), and his wife Meghan, Duchess of Sussex, pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
Britain's Prince Harry and Meghan, Duchess of Sussex are seen with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle, in Berkshire, Britain May 8, 2019. Dominic Lipinski/Pool via REUTERS
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
WINDSOR, ENGLAND - MAY 08: Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex, pose with their newborn son during a photocall in St George's Hall at Windsor Castle on May 8, 2019 in Windsor, England. The Duchess of Sussex gave birth at 05:26 on Monday 06 May, 2019. (Photo by Dominic Lipinski - WPA Pool/Getty Images)
Britain's Prince Harry, Duke of Sussex (R), and his wife Meghan, Duchess of Sussex, pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
Britain's Prince Harry, Duke of Sussex (R), and his wife Meghan, Duchess of Sussex, pose for a photo with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
WINDSOR, ENGLAND - MAY 08: Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex, pose with their newborn son during a photocall in St George's Hall at Windsor Castle on May 8, 2019 in Windsor, England. The Duchess of Sussex gave birth at 05:26 on Monday 06 May, 2019. (Photo by Dominic Lipinski - WPA Pool/Getty Images)
Meghan, Duchess of Sussex, places her hand on the head of her newborn baby boy as she and her husband Britain's Prince Harry, Duke of Sussex, pose for a photo in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
WINDSOR, ENGLAND - MAY 08: Prince Harry, Duke of Sussex and Meghan, Duchess of Sussex, pose with their newborn son during a photocall in St George's Hall at Windsor Castle on May 8, 2019 in Windsor, England. The Duchess of Sussex gave birth at 05:26 on Monday 06 May, 2019. (Photo by Dominic Lipinski - WPA Pool/Getty Images)
Britain's Prince Harry, Duke of Sussex (L), and his wife Meghan, Duchess of Sussex, walk away after posing for photographs with their newborn baby son in St George's Hall at Windsor Castle in Windsor, west of London on May 8, 2019. (Photo by Dominic Lipinski / POOL / AFP) (Photo credit should read DOMINIC LIPINSKI/AFP/Getty Images)
The Duke and Duchess of Sussex with their baby son, who was born on Monday morning, during a photocall in St George's Hall at Windsor Castle in Berkshire.
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Meghan and Archie are also doing well, the source adds, noting it is an "absolutely lovely time for the couple."

"It’s been such a magical time for Meghan and Harry," the source says. "They are so incredibly happy."

On Sunday, Meghan and Harry's official Instagram account shared a precious new photo of Archie's feet in honor of Mother's Day in the U.S., and also touchingly paid tribute to Harry's late mother, Princess Diana. In the pic, Meghan holds up Archie's feet over a bed of purple forget-me-nots, Princess Diana's favorite flower.

"Paying tribute to all mothers today -- past, present, mothers-to-be, and those lost but forever remembered," the post reads. "We honor and celebrate each and every one of you. Today is Mother's Day in the United States, Canada, Australia, New Zealand, South Africa, Kenya, Japan, and several countries across Europe. This is the first Mother's Day for The Duchess of Sussex."

A source previously told ET that 37-year-old Meghan planned to spend the special day at home in Windsor with her family, including her mother. The U.K. already celebrated Mother's Day this year on March 31.

After Meghan and Harry introduced Archie to the world last Wednesday, Meghan described being a new mom.

"It's magic. It's pretty amazing. I have the two best guys in the world, so I'm really happy," Meghan said to a small group of reporters. "He has the sweetest temperament."

Harry then joked, "I wonder who he gets that from."

Meet the queen's other great grandchildren: 

7 PHOTOS
Meet the queen's great grandchildren
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Meet the queen's great grandchildren

1. Savannah Philips 

Savannah (7), is the eldest daughter of Peter Phillips and Autumn Phillips. Her grandparents are Princess Anne and Mark Phillips. Her younger sister is Isla Phillips.  

2. Isla Phillips

Isla (6), is the younger daughter of Peter Phillips and Autumn Phillips. Her grandparents are Princess Anne and Mark Phillips. Her older sister is Savannah Phillips.  

3. Prince George

Prince George (5) is the eldest child of Prince William and Duchess Kate Middleton, who also have Princess Charlotte and Prince Louis. His grandparents are Prince Charles and the late Princess Diana. 

He is 3rd in line to the throne. 

4. Mia Tindall

Mia (4) is the eldest child of Zara Tindall and Mike Tindall. She's the grandchild of Princess Anne and Mark Phillips. She is the older sister of Lena Tindall. 

5. Princess Charlotte

Charlotte, 3, is the middle child of Prince William and Kate Middleton. Her grandparents are Prince Charles and the late Princess Diana. 

6. Prince Louis

Prince Louis, the third child of Prince William and Duchess Kate, was born on April 23. He joins older siblings Prince George and Princess Charlotte. 

His grandparents are Prince Charles and the late Princess Diana. 

7. Lena Tindall

Lena, who was born on June 18, joins older sister Mia. Her parents are Mike Tindall and Zara Tindall, while her grandparents are Princess Anne and Mark Phillips. 

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