Love the idea of carrying bucket with cleaning product on them.... That will definitely help with time
Rightly said, I have also been using O-Cedar ProMist, which is microfiber Spray Mop. And It helps me a lot in getting my work done. The interesting thing is that it does not cost much at all. I was on the budget when purchasing this one, but still, after having enough money, I have not the courage to switch from this unit.The microfiber mops are pretty good and easily available online.I have been using them for a few years now,never got down on my hand and knees. But at times cleaning the corners becomes a tedious job.What I would suggest, is to sometimes to use your hands, but prior to that make sure to vacuum clean the floor well.A small brush or a scrubber could also be helpful in doing the corners.But I feel that the best cleaning is done when a lot of effort is put into the job.