Well, so far, the best hand cleaning that I have found is Borax soap,
McMaster item 6371T64, $9.59 for 5 lbs. It works very well.

Additionally, I have completely redone my hot water plumbing. I
replaced the leaky water heater, and made sure that the water through
both garden hose outlets is hot (it can be switched to cold, but not
easily). I am guessing that most of my garden hose water use, such as
power washing, will require hot water.

As part of this, I also changed the utility sink and supplied hot
water to it. I can finally wash my hands, dishes, and other greasy
objects without problems.

i