There is a lot of value in cross promoting your blog posts on Facebook. Below is a list of useful Facebook wordpress plugins and applications that integrate your blog with Facebook.
Although there are many sharing plugins available for WordPress, nothing beats the Facebook share button for its ease of use. Once you embed the html and javascript it creates a share button which can be customized according to your preference. If a user clicks on that button, the number of shares is shown. Additionally, it can be configured to show likes, user-comments, shares, etc. for your WordPress blog-posts. If you prefer hacking things yourself, you can also grab the share button directly from Facebook.
If you are running a Facebook fan page and want to get some extra traction through WordPress blog this is a very handy plug-in. You can add the fan box to your blog-sidebar and choose to display your page updates, no. of fans, their profile pictures etc. We highly recommend positioning this box is an area which is obvious as new fan conversion can dramatically increase overall engagement on your site.
You can power your wordpress blogs by integrating Facebook Connect and make it easy for the visitors to sign-in through their Facebook account & comment on the blog posts. Your blog visitors do not need to fill their details for writing comments on the blog, in addition they can also publish the blog comments to their Facebook profile feed. Whenever a user writes a comment, they can be easily distinguished through their Facebook profile icon.