@naturesgurl3 -- It sounds like your father may need some advanced care. Many nursing homes offer personalized nursing care, so he could go with a couple of different options.
If he has prostate problems (as often come with Alzheimer's) then a suprapubic foley catheter may be the best choice. It drains into a bag on the leg, which the nursing staff at his new home can monitor and change.
If you want to avoid surgery, and if the problem has more to do with incontinence and not prostate problems, then a condom catheter is the least invasive kind of urinary catheterization, which may be a good choice.