Using Twitter to attract traffic will only be successful if you can get more followers. If you've only got 10, you've got a bit mountain to climb in terms of your marketing strategy.
There is no silver bullet. Using Twitter and Facebook won't magically make you popular. First of all, you need to make sure you've got good content on your site, that makes it worth people's while visiting your site. What is it that is going to make people want to visit, and want to come back for more? Are the followers that you do have loyal and regular visitors, or did they add you in a fit of enthusiasm and ignore you ever since? If they are loyal, how can you encourage them to spread the word and recommend your site to others?
These aren't answers, they're questions. Each site will have different needs and a different strategy. You need to work out what the answers are for you.