Don't expect results if you market your business online only occasionally or haphazardly. Market your Web site in other media. If you advertise in print media, write columns for industry publications or engage in public speaking events, be sure to always mention your Web site. It seems like everyone is doing Web development work these days, many with no prior experience. The best way to start looking is to cruise the Web and see who designs and maintains sites that you like.
Most Web sites have the name of the designer somewhere on the site.
Frequently, it's also a hypertext link that takes you to the designer's home page. From there it's easy to send email or write down a phone number for a quick call. Most ISPs, if they don't have designers on staff, have a few who they refer work to. The best design team in the world is of no use if it can't meet a deadline. If they say they can meet it, make sure timing is addressed in the contract.