Networked Blogs is a great Facebook add on that allows you to network your blog with other Facebook users.

Be sure to list your blogs and follow Her Media. Click Here

For detailed instructions on how to get your blog promoted on FaceBook through Networked Blogs check out this post by About Communication.  How to connect your blog with Facebook

Networked blogs is just one of many ways to promote your blog through Facebook. Others include;

1) Be sure to list your blogs on your profile

2) Use your status updates to list your blog happenings

3) Create a Fan Page

4) Applications such as Simply RSS. Just go to applications and search for RSS and you can browse through all the available applications.