A great way to interact with social media is via a mobile site. In a previous post I showed you how to embed your twitter timeline (HERE) and for this post lets look at adding a Facebook like box. Now since this is for mobile the width is going to be 300.
Go to https://developers.facebook.com/docs/plugins/like-button and follow the steps.
For best mobile results, use width 300, and play around with the different layouts available and see which one fits the look you want.
When you get the code, it will be in two parts. One for the header of the page/site you are placing it and the other in code module for placement.