I find that dishes that are hand washed in Dawn dish detergent or liquid laundry detergent eventually begin to feel as if they have a thin coating of cooking oil on them even after they are "clean". By contrast, dishes washed in a dishwasher develop a dry and sometimes coarse surface. The oily feel left by hand washing seems harmless, but I'm curious if there is a type of detergent that will remove it - without removing skin from bare hands. Or would such a strong detergent require wearing gloves?
From my childhood, I recall mother washing dishes with Tide powdered laundry detergent. I think she wore gloves, but I don't recall that detail.