If where you are going is a nursing home, and not an assisted living facility, I would not sell your home to pay the $7,000 per month.
Your home is not a countable asset to qualify for Medicaid.
You would have to spend your other assets, but once your other assets are spent down , Medicaid will start paying the bills without the house being sold.
You may want to speak to an Elder Law Attorney about that.
If it is assisted living and not a nursing home then you can ignore my post.
Wish you the best.