How do you clean dirt and grime off the floors and walls?

You could try Murphy's Oil Soap.

Magic eraser.

This should help with removing the sticky residue: https://www.hunker.com/13423382/how-to-clean-hardwood-floors-with-vinegar-to-remove-sticky-residue

Vinegar is a good cleaner. For floors I would rent from a hardware store one of those electric floor cleaners. It is really often the muscle power that cleans. For the walls try a bar soap and water. I like Zote and Fels Naptha. Try Murphy's oil soap. Vacuum or sweep walls first to remove all loose dirt. Good luck. We moved into a really dirty house and it can be challenging to clean it all.

Sticky to me means either wax or grease. Sudsy lemon ammonia will remove wax - especially that awful Mop and Wax stuff that makes floors sticky. For cupboards, I use Dollar Tree Awesome Orange in the half gallon, put it in hot water, and buy a bottle of the Awesome Degreaser for the tough bits. I use a car sponge, wear kitchen rubber gloves, and round plastic scrubbies for the really stuck on stuff.

1 cup baking soda

1 cup white cleaning vinegar

1 Tbsp blue Dawn

2 gallons hot water (I boil about 1/3 of mine)

For floors that aren't wood.

For walls, blue Dawn and hot water.