I think you could stay in your home as long as that there is someone who will assist you. If the disease is at its advanced stage, a round-the-clock care is needed so assisted care homes are a strong option. Care giving can be a real challenge to your loved ones, but if they are willing enough to take the role, then staying at home is a real possibility.
I think you should research your alternatives. I do believe that unless you have the funds for around the clock care, you will need assisted living.
You should live in your house as long as it is safe and you have help. However, I know you wouldn’t want to put anybody at risk. My friend’s mom almost burned the house down when she left the stove on.
So even though you can live at home for along time especially if you have support and help. You need to have an idea as to what you want done before you are not able to make the decision for yourself.