i think so you have not happy You certainly sound as if you have a lot on your plate and you feel unsupported.
Bad situation. I would take no more chances. This guy relapses 5/9 months? I am no better. But if you give him the ultimatum to either be with you/kids or stop then you have your answer.
My girlfriend is diagnosed with this also. she says that you shouldn't even be taking the chance you are taking a very high risk even knowing this man well because the disorder can cause him to do things he doesn't want to or isn't aware of doing without his meds along with the alcohol abuse. with this disorder you arent in complete control of your actions take precaution and try to eliminate the problem for the safety of your children and self.
You are treading dangerous grounds when you get into a relationship with a man who has both an unstable psychiatric condition and alcohol abuse issue. When you add children into that mix, no matter how protective you may be as a mother, it does not bode well for your relationship. To be on the safe side, I would put the interest of your children first and foremost, before any relationship with any man, especially an unstable one. Hope I am not being too rough, but you did ask for my advice. Good luck to you.