If I were you i would try to sort out your current relationship before you even think about starting something new, as people have rightly said, other prospects tend to look very attractive when you're not getting any attention or care from your current partner.
If his drinking is really unacceptable to you then I would lay it on line and make it clear to him that this is not acceptable to you and that if you cannot come to a compromise about it then it will be over. I know the house aspect is a worry but as others have said, to stay with him, have a baby together etc etc.. and then split up is going to be a million times harder to do than to break up now. From what you've said, it sounds as if you doubt that you even love him any more- do you think it really is his drinking that is bothering you or is it just him? Bottom line hon, life is too darn short to stay with someone who makes you feel unhappy and unloved. You deserve someone who really loves you and vice versa and so does he. I think someone once said that they would rather deal with a flood of pain that is temporary than deal with the drip drip drip of a constantly unhappy relationship that drags on for years.
Maybe you guys do have a future, who knows? but I would try to make a decision either way now before you think about starting another relationship. Good luck hon...
