But I'm also very suspicious of her moving out without me being there watching, to make sure she doesn't take anything she shouldn't. Thoughts?
Holding,
Make a detailed list of the things each of you will keep and have her sign and date the list (and vice versa). That's what my XW and I did and it worked well.
One word of caution, my XW put our sons' computers and gaming consoles on her list. I called her out on that. Those things belonged to my sons so I told her they're the ones that needed to decide where those items would go. They chose to have their stuff stay with dad; what a surprise.