Update,
H came home late again last night. Claimed to have worked late and stopped for a few beers, again. I am so tired of hanging on. When he went up to bed I went after him and said I needed to say a few things. I started out saying that I thought we had a really great weekend but now I am so sad by the fact that he has come home late each day since. I told him I know his OW probably demanded they spend time together since he was with me and the kids over the weekend. I told him I was thinking of taking the kids to stay with my folks for a while. This got his attention, I told him we both needed space. I asked him if he wanted to stay married and he said yes and he would come straight home from work today. (Huh?) I told him OW was selfish and as nothing to loose by going after a married man with 3 kids and does he realize that he has EVERYTHING to loose, most importantly his kids. I said if you want to work on things, great - if you want to move on to "greener" pastures, I'll be sad but I will be ok although I will not be the one to tell the kids I'll leave that up to him.

He didn't admit or deny anything. He said he wants his family and that he is just so tired all the time (Duh! Leading a double life and keeping track of what lies you told to whom can be very exhausting)

I know that what I did was against the DB advice. I just felt that I had to let him know where I stand. That he is not fooling me with his lies and that I am ready to move forward, with or without him.