Looks like you are getting somewhere, one (or 5 as it may be) steps at the time!
The key is to not say "no" to any help, but cling to it, or simply stall. If they offer A and you dont think she is quite there yet, say "Yes, please, lets have A in 2 months, taking it slow to ensure mum adjusts...."
There is always a lot on the plate for us, the sandwich generation.
I am still recovering from Christmas, and feel mentally unable to cope. Having visited mum so much in the care home, and had her home for visits, have been challenging. Not least because of all the questions from DS1 who remembers a loving and caring grandma. And the reluctance from DS2, who my mum does not remember at all, poor wee boy.
The upshot is, I cant bring myself to phone her. She is so far gone that phone conversations are a real struggle. She does not know what the phone is, what she should do with it. WIll chat a bit, and then put the phone down, and I will hear her potter, go to the loo, look in on her doll, which she thinks is alive and that she in fact thinks is my ds2 (which is why she cant acknowledge that my ds2 is actually alive when she sees him).
My point is, be glad and treasure all the lucid moments. When your mum gets to the point where my mum is now, you can look back at them fondly. And take pictures when you and her are together and you do something. If you can, make a point of taking her out for a walk, a coffee, or to the park. Ensure the time you have with her is valuable. Not just chores. The time you have now is your time do enjoy your mum, like you would enjoy a newborn, in a sense. You know this time wont come back, you know it is short lived. The difference is, with a baby or a child you have years and years ahead of you with enjoyment and milestones, but with an elderly parents, they are stolen moments.
To go through this when you are in your thirties (well, I am nearly 41 now) when you have small children to look after is really tough. I am glad you are able to access real help.