I do cleaning part time. I advertise on Facebook where most local solo cleaners advertise, so might be worth looking there.
I always pop round for a chat to discuss exactly what customer wants doing, how many hours, which days, cost etc
I provide my own products including hoover, mop etc but will happily use customers if they prefer.
I'm police checked and fully insured, maybe something you could ask about to give you peace of mind.
Maybe write a list of exactly what you want doing, while being realistic about what can be done in time your paying for.
Personally I don't mind customers being in the house while I'm cleaning but I do like to be left alone to get on.
I had one lady who sat in the doorway of each room I cleaned in her wheelchair, then checked how often I changed water in mop bucket.
Unfortunately I didn't return
As mentioned lots of people are looking for cleaners.
You can ask for references and as I say write down exactly what you want doing.
Hope you find someone.