My father is almost 96, has Alzheimer's and insists on living in his own home. Any advice?

Finally got his drivers license away from him (had to go to state). Kept getting lost. I'm coping with roof leaks that he's giving me a hard time fixing. House has termites, he's in denial about that. Insist on cooking with gas. Climbed on a ladder and tore down his smoke detector because it kept going off. Can't work his simple thermostat so he turns heat and AC off and on. Plumbing leak cost over $500. Poor plumber couldn't find it because my father forgot he had another bathroom. He is not capable of living alone and caring for his home. He's broke and I need to sell his home to care for him. I have fixed a room and bathroom up at my house and he refuses to move in. I have Power of Attorney but I hate to force the issue. Concerned that he'll get depressed and die if I make him move in with me or worse stick him in an Assisted Living Facility. His doctor agrees that he has no business living alone. I got him a call button and he presses it accidentally at least 3-4 times a week. I have no siblings left and am dealing with this on my own. Afraid to go on vacation. Going to see a psychologist for help. Do I force him out of his home now or wait for something to happen like a fall or a hospitalization and then use that as an excuse to force the issue then?