Zany - TOUGH LOVE ALERT!
Can you not just be on your own for a while? Just until you get your drinking is under control?
And, I have to ask, why did you let him meet the DCs so soon?
It's hard enough for you to adjust to being in a relationship, but if it all ends, the DCs will have met him and no doubt miss him.
I'm telling you this lovely Zany because I remember the men my mother dated. I remember them all. Some were nice, some not so. One was particularly violent towards her and even chased me and my sister around the house with a samuri sword.
Not a very nice man. Not at all. 
I knew that my real father had cheated on her, more than once but I always wanted it to be just us, you know? I hoped we were enough for her.
Then she met my step father. At first, I found it really hard to accept him. I couldn't understand why she wanted to be with another man after what my real dad did to her.
Then, over time, I realised why she married my step father, what she needed, why she felt incomplete. And, he's my hero. I love him so much, for loving me like his own daughter, teaching me, guiding me and giving my wings lots of feathers.
There are good men out there, I'm very lucky, I found two, my step father and my DH.
Zany - just take your time, find the right man for ALL of you. YOU are worth so so much more. Maybe you need time to heal. You know?
Sorry if this has upset you but I wanted to maybe let you see it from your DC's side of the fence. xx