3littlefrogs something else I have found out while navigating the care system, which might interest you, slightly off topic:
Until my mum' s care became fully NHS funded, she was privately paying (+plus, obviously, the non-means tested care component of £100+ per week others have mentioned).
However, as she owned a home, once her liquid assets dropped below £24k she became eligible for the local authority deferred payment scheme.
Under this scheme, the fees are paid interest free by the local authority, to be repaid when the house is sold or my mum dies, whichever happens earliest.
But this is where it gets a bit random and unexpected. Because the deferred payment scheme involves the LA paying the fees on the resident's behalf, for as long as the house remained unsold, they are charged at the local authority rate (£750 pw-ish) rather than the private rate (£950 ish), even though she is classed as privately funded.
By contrast if I had sold the house, the rate would immediately have increased to the private rate, moving forward. The difference is not recovered retrospectively.
In other words, leaving the house empty instead of selling it, and using a local authority deferred payment scheme to fund the fees, produces a saving in this example of around £800 each month.
Obviously you have to be ready to sell it quickly when the time comes as the debt will become interest bearing as soon as it is due.
It is a minefield. I doubt local authorities are consistent across the country but it is something to bear in mind.