She then lectured usabout the "state" of the property and if we couldn't keep it tidy she would sell.
Whoever you rent from will do inspections and give you a ‘telling off’ if they don’t like the state of their house.
How bad is the kitchen? Can you fix it up? Would they let you paint the doors, get a new worktop, put some new flooring down? It would only cost a few hundred? Would they share the cost? Kitchens don’t just fall to bits. I also know people who have rented places with no carpets.
In addition to the £100 per month you are saving which until recently appears to have been £150, you have the security of a long term tenancy which can be worth quite a bit. Do you have pets? Finding rentals that accept them can be tricky.
I don’t think you can ask them to sign over the house. They bought it some years back to help your DH who was struggling financially. Some years later and despite no mortgage and maintenance costs you both have bad credit and no savings. It wouldn’t fill them with confidence would it.
As for deliberate deprivation of assets, I think there needs to be evidence that the gift was given in order to avoid care home fees which in this case it seems it would be! Evidence though would be where someones health began to deteriorate and this prompted them to start giving stuff away. If gifts are given in good health and a few years pass, it would be harder for the LA to prove deliberate deprivation, though you may have a fight on.