I agree that you should go for full custody and get a GAL pronto.
Also, document EVERY SINGLE THING. Take photos of going in and there being empty cabinets, no TP, dirty, etc.
The GAL will be there to represent your children only. It's hard telling what all they know. I would also say the courts will not like that she is lying about being employed.
Hugs to you, I am so sorry.