Hi, I have to say when we decided to rent mums home out we had to blitz the whole house. New flooring, painting, some new windows and new kitchen cupboards and sink and new toilet. Me and the OH did the painting but had people in to do the other work. Brother and wife helped clean place out but couldn't do more as live so far away. So all that had to be paid for even before rental coming in.
Also I think if you do sell, once your mum's savings go below £23k then there is a reduction in what she has to contribute to home care.
Not sure if someone had mentioned attendance allowance to you. Good thing to look into.
Then I think if there is another step/reduction in payment when your mum's savings hit £12k.
It's mind field. And as CLKD mentioned try and find a home that will see your mum all the way, we did and it was a big help. They did everything they could for her the only move she made was to a different room near the care staff so they could constantly check on her and have her close at hand during her last week or two.
A big big hug to you as I do know it's very hard to go through
Just try to take it at your pace.