Old fashioned:
Buy 2 mops. Take a sharpie and write "bath" on one and "kitchen" on the other.
All you need is water, vinegar, baking soda and kosher salt and towels, rags, toothbrushes and/or scrubbies. Those will clean everything imaginable.
Carpet sweeper and wood floor duster and paste wax.
Modern:
I also like my Eureka floor steamer and wet/dry shop vac. A lot. :0)