You should provide a link to your website in your profile page. A lot of people are looking at the profile pages at Twitter, therefore, you need to stand out from the crowd when it comes to your Twitter background, your profile picture, and your profile bio. If you do, people will click on your link and discover your website.
Twitter:
1. Use keywords on your profile that is related to your website/business (ie; "#dating, #travel)
2. Share links on your profile, while talking about non-business too.