A year ago, an old buddy of mine lost his job. I commiserated, but assumed, since he was a computer guy, that he was aware that many companies have abandoned the Sunday newspaper's job listing in favor of online sites. I was wrong; he wasted two months before catching on, two months I could have saved him if I'd just shared a simple piece of advice; job search online first.
Your local paper will have an online complement to its print want ads, so that would be a good place to start. Add the top ten national sites, which are, according to TopJobSites.com-
And don't forget Craigslist.org. Although it's rife with fraudulent job ads, there are occasional nuggets in the dreck.
A reminder, though; as Tracey has wisely warned, posting too much personal info on a site risks identity theft. Use these sites to identify companies with openings, then deal directly with them.