You sound really troubled. I ask you respectfully to read my post and think very carefully about your life:
This other man is an active alcoholic, and it's extremely clear from your posts that you are an active codependent. I would venture to assume that you believe that in order to be loved, you have to "pay" for that love by taking care of the other person.
This is played out clearly by the fact that your DH has his way paid by you already, and seems to see you as a meal ticket and lifestyle support rather than a partner.
If you go into a relationship with the alcoholic, yes there will be more emotion involved - lots of high drama and emotion, that's what alcoholics thrive on - but you will still, eventually, find yourself stuck in a dynamic where you take care of the person, and they drain you and give nothing back.
Please. You have children to think of here. Please get into counseling, stop looking for love from men, start looking inside. I recommend the book "Codependent No More" by Melody Beattie. You have a lot to sort out in your life. Do not run away from it by focusing on the feckless men that surround you.
I've seen him drunk and he's nasty but always so apologetic the next day. He's verbally nasty, not physically.
This statement from you ^ makes my blood run cold. For you and your children.
You are literally already making excuses for an active alcoholic to abuse you. You imply that it's OK that he is "nasty" when drunk because he's "apologetic" the next day. Oh well that makes it ok then
And you also seem to imply that since he's only verbally nasty, it should be fine, right?
I beg you, I honestly beg you, turn your gaze inwards. Rescue your children from the horrific suffering you'll put them through if you carry on down this path. DO NOT TAKE UP WITH THIS MAN.