Don't move until you believe it is the right thing for you, your stability, and the relationship.

Waiting until the time is right gives the relationship the best chance to succeed long term.

Boyfriend may want you back home right now, but it sounds like he has issues of his own to work on. The drinking concerns me, especially since he has a pattern of drinking too much and blaming you for it.

I'm not saying NEVER move back in, just make sure you are making the healthiest choice possible. Especially since you are going to be disrupting the rest of your life if you move back.