Promote your site at related group, pages in facebook.
Like other pages in facebook
Share your site by doing blogging, video creation and other networking sites.
Get yourself a facebook ad coupon, and drive traffic to the page that you want people to like. When you drive your traffic to your fb page in the fb adnetwork, the cost per click goes WAY down.
Here i define some good way to increase facebook likes.
1.Advertise on facebook to get more likes.
2.Add facebook social plugin box to your blog and website.
3.Free exclusive vediothat can only be viewed if you like the page.
4.Run a competion.
5.Initially ask friend and also family to like your page.
6.offer a free ebook to obtain a like.
7.Post content from your blog to facebook whenever you write a new post.
8.Ask question regularly using facebook native question app.
9.Include a link to your facebook page in your email signature.
10.Offer special including discount to facebook fans.
You must share more interesting content and unique to have more likes and you can suggest to other friends. Most important is to have a unique content and more interesting, so that people may link or like of what you've shared.
You can share your page with your friends and ask them to shares with their friends too, Make a big chain of this.. Create a widget and place it in your blog or website too.
and one more paid option to get facebook like is . Contact with freelancer who do that kinda stuff..