Learn to explain the concept of your website in 140 characters or less. Less than 100 characters if possible, to leave room for the URL. The second part of this is to pay attention after the launch not to just who is Tweeting, but how. If people are describing your site in a different way than you are, that give you a good idea of which parts they find useful. This is honesty that you cannot buy with market research.
When describing your site, leave something to the imagination. Give Twitterers a reason to click and find out more. My tagline is “If you stop writing, there will be consequences,” that’s 46 characters, which leaves me more than enough room for the title of my site and the URL.
All of your target audience might not be on Twitter, but you can bet that their favorite bloggers are. I’ve gotten a large amount of traffic directly from Twitter (almost a quarter of total traffic) but I credit Twitter for a great deal more than just those referrals.