Twitter is a great source to promote your blog. Almost every successfull blogger use twitter to promote his blog. Its a great way to connect with your readers. If you are on WordPress, here is plugin called tweetable which helps to integrate twitter into your blog. Tweetable can automatically tweet links to your blog posts as they are published.
Tweetable can also display your blog posts in your sidebar with a customizable widget, which can even display your follower count.