I was told that the 6 weeks free care is after a person has been discharged from hospital into a nursing home. Don`t know any more as it did not apply to OH.
The 6 weeks is so a care home can do an assessment on the residents care requirements and let social services know. This is done when someone has been in hospital and not expected to be able to return home ( although mum did). They may not need a full 6 weeks to make their assessment
After that a decision will be made if mum can go home with a care package or if she needs to stay in a care home or needs a home with nursing etc.
If you want some input you will be wanting to look at homes yourself. Social Services may choose one which you don't like but it fits their budget and you will then have to argue the toss.
Assuming she goes into a care home he'll stop getting attendance allowance. On the assumption she lives alone if she owns her own house she will have to sell this and use the profit to pay for her care until her savings reduce to 23k. They will defer payment until the house Is sold. When saving reduce they take a standard amount per every £250 until savings are down to 14k and then this amount us disregarded.
Assuming she doesn't own her house or have savings over 14k they will use all her income less approximately £30 a week ( I can't remembered the exact figure) to contribute towards care home costs. The £30 is "considered" enough for toiletries, clothes etc.
I tried to find out how much was the maximum the LA would pay in an imaginary scenario where mum had no money and no savings; ie approximately much were the fees care home, which the LA deemed suitable by the LA,,charging. It seemed to be some mysterious secret and was like getting blood out of a stone. Anyway they eventually gave me a figure of £880 a week but I understand this varies considerably depending on your LA area. If mum needs nursing care then she will be given a contribution towards her care from the NHS and this varies on the amount of care she requires.
Don't take everything I've said as set in stone. I may have got a few things wrong or not considered any other scenarios. I just found it so frustrating and stressful when I had no clue other than the 23k saving thing so I hope this will help.