He can't make you and girls move without any agreement or court order in place, that's not the case right now, so cut it there. Ignore his unreasonable requests. You could say "We can talk about it later" and switch the subject.
Work on detaching and GAL.
If he's good to the girls, you don't need to worry about him abandoning them now. They are his choices and there's nothing you can do about it, so put that weight off your shoulders. You are doing the best you can DBing.
