I've been in precisely your situation, OP. My brother is an alcoholic, now in recovery for 18 months. Our parents are dead, and by way of family I am all he has.
I did what you did. Put him through rehab, making a massive hole in our bank accounts in the process. It didn't work, of course. Only when he was in an advanced state of cirrhosis and practically at death's door, spending over a month in hospital whilst they detoxed him again and nursed him back to health, did he see the light. Sometimes, this is what it takes: a straightforward choice to die or to live.
Of course, as loving sisters we go into rescuer mode. That's understandable. But you have to keep yourself at a distance to preserve your own and your children's wellbeing.
Our father was an alcoholic too. I saw a lot as a child that I shouldn't have seen. Please, OP, do not expose your children to this. It can become a pattern within families, sadly.
An addict will steal. An addict will lie. An addict can become abusive. An addict will stay in denial in the face of all evidence to the contrary. It's the nature of the disease. The only thing they care about is their next fix. And there comes a point where, if you're not careful, you will end up enabling their addiction. Sometimes tough love is in their own best interests because they really do need to feel the consequences of what they do if they're to have any hope of change.
I feel for you so much. It's a rough road to travel when a loved one is an addict. Are there any local family support groups, such as those run by the Forward Trust? They helped me no end.
Sending all positivity to you. You are allowed to look after yourself as well.