Clean Top to Bottom
I save cloths and prevent cross contamination by cleaning in this order:
It's best to use color coded cloths... One color for kitchens, a different colored cloth for bathrooms.
you need a Bucket
Then You Need a wet Mop
Flat Mop systems are very handy. You can use a dust mop pad, then switch it out for a wet mop pad. After your pad becomes dirty, swap it out for a clean one.
An Apron saves Time
My favorite apron was by Fiskars, made for gardeners. I would put 2 aprons on 1 belt, but they are not being made at this time. You can still locate these in a few places on the internet,....
Or just buy an apron at the hardware store, or get a Fiskars pocket for buckets and modify it to your needs.
Also check out Jeff Campbell's place for aprons.
your floor tool - the Vacuum
If you are cleaning your own home, keep one vacuum upstairs and another one downstairs. This will save you the trouble up carrying one upstairs. I like to use a heavy duty extension cord so I can plug the vacuum in once on each floor and keep working. You can use a hand held vac for the stairs for weekly cleaning, and use a full size one on them occasionally.
I actually like the Shark Lift Away vac the best. I f you can't afford a big purchase go to QVC to buy with payments.
The Cleaning Cloth
Use smooth strokes, not jerky, and occasionally hit it against your lower leg to knock the dust off so it falls to the floor for sweeping or vacuuming.
I got my duster from Texas Feathers with a long handle. If you have a short handle you can carry the duster around in your back pocket. If the feathers get dirty, just wash in mild soap and rinse well. Slap it gently against the wall of your shower occasionally as it dries, hang it up with the feathers down.
plug in once and go