The Penderells looks very interesting, thank you @myheartskippedabeat
When DM needed live in care, we used https://www.country-cousins.co.uk and were very happy with all but one of the people they provided over several years.
The agency levy their own fee separate from the fees to the carer, which is paid direct to the carer, so we know exactly how much they are paid.
They came for two weeks at a time, we built up to having three such carers regularly, typically one after the other, so two out of every six weeks. This worked quite well, they could have a rest or move into other clients. Two weeks at a time seemed manageable, too.
This is an advantage over having private carers who will need holidays etc.
They typically worked ten hours in two blocks, morning til lunch, time off in the afternoon and then back in the evening.
They were available for callouts overnight with a tariff agreed in advance based on the likely number of callouts. Up to two callouts overnight could be accommodated in the usual daily rate. If more than two happened regularly then different arrangements were needed, either a second live in carer or another carer to come in daily daytime.
Clients who need help with toileting are charged at a higher rate.
They provided help with washing and dressing, cooking and light housework. It was expected that there would be a separate cleaner and gardener etc.
Overall they did a great job and kept DM company very successfully until she started to need overnight care and two people to move her, at which point a care home became more suitable.
Hope you find what you need.