I'm going to preface my next comments with an overall view.....do what is best for YOU.
Moving seems a bit premature to me...has he actually filed yet?
With regards to living situation and H, I think that is something you can set straight in the divorce decree. That doesn't sound like a great situation for your D and I would consult your attorney about it. If you don't have an attorney yet, you might go for a free consultation and find out what your rights are, and ask some of these questions so you can feel more at ease.
As far as your independence, I don't think that is attached to a home....you get to decide that.