Do a Separation Agreement, go as dark as you can and wait a couple of months. That way you will have no questions in your mind later (or maybe fewer).

You can even say that when he picks up the girls that he doesn't come in the apt.

Me 57/H 58
M36 S 2.5yrs R 12/13

Let me give up the need to know why things happen as they do.
I will never know and constant wondering is constant suffering.
Caroline Myss