w doesn't get to decide if she moves back in. You do.
What do you want?
Before answering that you need to decide if what you want NOW will bring you closer or further from your goal to reconcile. Each situation is different soyou need to determine the best scenario for ye.
If you cannot determine that, just answer what do you want to do.
You have had a long struggle.Dont get knocked by possible good signs. Keep doing what you are doing. Don't roll out a red carpet and definetely don't roll over.
You must be excited at the prospect of your kids moving hone. Keep your emotions in check and a level head. Best wishes
R 25 years M 14 years S11 & S13 Working on it alone since Oct 2014 M in trouble a lot earlier (~2 years) Feb 2016. 1st R chat in a yr. Next R chat Aug'17 Still together