My first suggestion is to make sure that you have some type of portfolio even if it is small. In my experience a lot of web designers create their own brand around their name and have a site with their portfolio. I'd then make sure you have some decent business cards so that when you start attending local events you have something to leave with prospective customers.

In most decent sized cities there seem to be numerous networking and small business events that are usually free or have only a modest fee to attend. I recommend checking the local chamber of commerce as well as using Google to locate them. Sites like http://www.networkingphoenix.com/ in Phoenix have a lot of events where you can get out and meet small and large business owners.

If that isn’t your style there are numerous websites advertising the need for talent to do one off projects. The issue with many of these sites is they want a lot for a little. But if you need experience, want to build your portfolio and or don’t mind working cheap then this might be a good route to start.

From there it is up to you. Also remember as you start getting clients, make sure you give them the best possible service as over time they can become your best source of business. Referral business often generates the best possible customers.