Dishes or anything in the kitchen can be cleaned with liquid hand soap. It's mild enough on the hand, but tough enough for grease. Elbow grease goes a long ways into getting things clean.
Bleach is diluted into a 10% solution, with water, to make a "bleach bucket" for running clean up in the kitchen. We were usually given two towels for the shift. One for the bucket, and the other into the back pocket for an oven mitt, and final cleanup before going home.
We would occasionally make a small toxic solution of soap and bleach for the mop bucket. I'm talking about a dollop of pink soap and a one second splash of bleach. This does create a TOXIC GAS that can burn the lungs, but it does a great job on the floor! Don't do this. Seriously.
Keep Right On Prepping - K