I think all the above suggestions are good. You don’t say where you live. But, if your Dad is on medicare, he might qualify for a OT evaluation at home. Ask your doctor. They have to order it. They can evaluate what you may need in your home to assist with transfers. Even at 135 lbs, dead weight is difficult. Some states provide the Life Services eval, but sadly not all do.
Care.com has some leads, but you have to do the screening. If you need skilled nursing, most home health agencies have HHA who help with bathing. Medicare dictates the frequency.