I have discovered that professional cleaning companies don't really mop anymore.
They spray the floor with the cleanser, then wipe it clean with a rectangular microfiber mop.
No mop bucket, and even better, if you use a raking motion to clean, you can sweep and mop all at the same time, if the floor doesn't have too much debris before you start.
I got one like this from Deals for $5.
http://www.amazon.com/dp/B004ZIDYOW/ref ... Code%3DasnIt works great. I can do the hard floors in my house in the time it used to take me to sweep.
I'm sure once in a while, a good wet mopping is still in order, but for everyday, it's a real timesaver.
So, you can call me lazy. I prefer to think of it as "efficient" tho