Thank you for asking.
Here are a few of my tips that don't necessarily require you to spend money unless you outsource the work:
Host a Contest -
Have a hosted contest on your Facebook page. The contest can have any prize that is related to your blog’s topic.
Post Engaging Images -
Add a large image to every status you write on your Facebook page and add a link to the article that you have written on that exact image.
Ask Others to Share your Facebook Page -
Become friends with other bloggers that are predominant on Facebook and slowly build their trust.
After sharing a few of their posts and had a few discussions, pop them the question, “Could you please share my Facebook page on Facebook?”
More than likely, they will share your Facebook page and if they don’t, don’t sweat it.
I hope that helps you a little!