He won't be home until that following Monday April 12th. And I guess when he comes home, that is when I will tell him I've decided what is best for me and the kids is for me to try to keep the house.
I really don't see why you want to warn him. Your instincts keep telling you to try and negotiate with him.
He has made it clear that his kids don't matter and only him and his affair matter to him right now.
You can't negotiate with an addict, they don't play fair, they lie, cheat, and steal to get what they want and they will run and hide and leave you to deal with the consequences.
He won't LIKE it, but if you leave it to him he puts the kids second... if i read right on his weekend to watch them at your place he just pawned them off on someone else so he could have the place child-free... Does that sound like someone who is a responsible parent you should be negotiating with?
He didn't even TELL you he was sending them elsewhere did he?