How to handle my dad asking me to go back to his house or come live with me every time I visit him at his care home?

Here is the backstory-My dad is 84 years old, and has been away from his home since 2021. My mother passed away in 2019, and my dad had been living on his own since then, and the family (myself, my husband and my brother) continued our weekly Saturday visits. My dad was an avid cook and enjoyed preparing dinner for us when we came to visit. On some of those visits we noticed my dad would become forgetful while cooking...he'd leave the stove on and wander off, and on one occasion, when I went to visit him after work, I found the windows and doors open, fans going, because it was 90 degrees in the house. Somehow, my dad had forgotten how to turn on the AC and had turned the heat on instead-and I knew at this point it would be dangerous if he stayed at home alone.
The final straw was when we went to visit him on Father's Day-we knocked on the door and rang the doorbell, but there was no answer...luckily, we had a key so we were able to enter the house, and we found my dad crumpled in a heap next to the commode. No telling how long he'd been there, but we called 911, and he was admitted to the hospital after discovering a large sore on his backside. (He was not taking his blood pressure medications/diuretics, and he had severe edema.)
After months in hospital, he was transferred between numerous care homes, and has been at his current one for about two years. Luckily, he is much improved, but now he has been pestering me to either take him back to his house or to move in with me.
I calmly explain to him over and over that he cannot live alone in his house, and that moving back to the house is iffy due to some legal issues (lien on the house due to my sister misappropriating our dad's Social Security/Teamsters money so the care home was not getting paid) and he cannot move into my house because I live in a very small 2 bedroom house and there is no room for him. (There is hardly enough room for my husband and I.) He said, "I can sleep in a chair, I don't care! Just get me out of here!" I would also be responsible for having him take his medicine...he hates taking pills, and when the nurses give him meds at the care home, he hesitates...I constantly have to remind him, but he refuses. I could not live with that daily. He has said they are not treating him well- he lives in a room with a roommate, and every roommate they have put in there with him has died. One was HIV+, and my dad was angry that they didn't disclose this until after the poor man had died (they had a shared washroom).
Sorry for writing this novel, but I am at my wits' end. I love my dad and want him to be comfortable and happy. Still, I have got so much going on (husband has skin cancer and is 79, I am now unable to work due to a back injury from my job (hotel laundry/housekeeping) and new neurological problems (seizures, memory loss, comprehension issues, brain fog)...waiting on disability to be approved but have been waiting for 2 years after being shot down once.) I will post more about the legal stuff under another post, but my hands are tied until things are straightened out concerning the house. I would like to hire a home health care nurse, but he is only covered for 8 hours a day. I am not good with legal stuff and suffer from social anxiety, so that's why I let my sister handle everything (husband is a lawyer and she is an expert communicator).
So what I'm asking is, what I should tell my dad every time he says, "If you love me, you'll do this for me... take me home or to your house." He claims one of the CNAs told him he could just leave with me and come back... this CNA also told me she had some things she needed to tell me about the facility that she could not disclose while on the property. There have been allegations of racism from the facility made by my father, so at the very least, I would like to transfer him somewhere else... But I just don't know where to start.
Thanks for reading and giving input.