Whenever I take part in Twitter chats about blog promotion, a common question that comes up is "how do I use Facebook to promote my blog?".
Word of caution: check the rules of any group before sharing your newest post. There is one blogging group on Facebook I have received a warning from because I jumped the gun. And act with caution when sharing your link into a group that might be on the topic of your blog about but isn't a blogging group (like Dundee Vegans for example - people go to these groups to chat not have someone's blog spammed at them).
Working with PRs
Again, if you're wanting to turn your blog into a for-profit business, you'll need to start looking for brand partnerships. Many PR professionals use Facebook groups to find suitable bloggers for upcoming projects so being a member is a must. Join groups such as UK Blogger Opportunities and reply to suitable opportunities (focus on the word suitable - you don't want to land yourself a reputation as a blagger rather than blogger). I've also had PRs and small businesses contact me through my FB page and some brands require you to have a minimum number of Facebook Likes before they'll even consider working with you.
Have you used Facebook to grow your blog? What are your favourite strategies?