Not an easy issue in my experience, if only because “ matching” carer to the person needing support is so important and more honoured in word than practice in my experience of private care agency who provide carers that is one route to go and you could be lucky.
But I am really replying to your post because we have recently hit the jackpot and found, or rather been given, someone who is perfect for my husband ( and me). She was highly recommended by a trusted friend who knew I was looking for someone, so on the basis of that, I would strongly recommend asking around and letting it be known that you are looking for someone. There are other huge advantages to using a private carer which I won’t go into here .
Good luck, and I hope you are as lucky as we have been without having to go through the same difficulties with arrangements that don’t work out first!
Best wishes, Pippa