Which would be the best for us to claim? Benefits advice please

Hi. I'm a 37 year old woman with disabilities and also have a 9 year old with disabilities. He is in receipt of high rate care and low rate mobility on dla and I get standard rate for both on pip (I've just been reassessed so it may change).
I have been my sons registered carer but my health has got worse so even though I am doing more than the required 35 hours a week I need more support to do it. My partner has been working full time but we are thinking it may be time for him yo give up work to care for me and to help me with my son.

I'm completely confused on which benefits we would be entitled to or which would be the best to claim. I've had esa before but it stopped when my partner moved in. I think I'm put off claiming it again because even though I was caring for my son they were putting a lot of pressure on me to try and go back to work. They seemed to have no concept of what living with a child with adhd and autism involves and him being at school during the day didn't mean I was free to work!

Any advice would be greatfully received

Thanks

Louisr