I wouldn't say that losing the house by itself is reason for divorce. Though, the other behaviors combined might be. Assuming he has all the time in the world to help out around the house, but chooses not to, I can understand your frustration. Only you can decide for sure.
It may be too late to save the house even if he did get a job. Hopefully you have banked those funds so you can have a nice nest egg if/when you do break free.
I would also say be prepared for the worst and hope for the best if/when you do move out. It may be the wake-up call that he needs. Perhaps January wasn't rock bottom after all. It also may push him into the F-It mode and start drinking again. Do think of yourself and your DDs needs first. You can't control or predict what he might do. Speaking from experience, losing my family was the rock bottom that I needed to wake up and be a good father. I may never get my family back, but I now know that my daughter needs me and I need her.