When I was doing my own bike maintenance, I would take any available clean grease -- olive oil, Crisco, whatever I found in a used skillet
-- rub it into my hands until it was black, wipe it off with a paper towel, then wash as usual. (Works on paint, too.)
Out on the road, grease and paper towels alone would suffice. After getting oil all over my toolkit, I switched from a one-ounce dispenser bottle of olive oil to a screw-top lip-salve box of original-formula Eucerine -- a hand cream that you could slice if it weren't so sticky.
Joy Beeson