Maybe since you're not sure what's best (in terms of whether to ask her to move out or not), you should do what you think would be best for the kids. Let that be your priority and focus right now. Maybe that takes a sacrifice on your part to put up living with her, but if you're properly detached and working on GAL, then it shouldn't matter as much.
I'm not a vet, though. That's just my two cents. (I'm not detached either.)
M: 43 H: 39 D: 14 Married 15 Together 16 BD: 6/2014 S: 8/2014 OW revealed 10/2014 Instigated dissolution 12/2014, in progress So over it!