I've always used hot water & refilled my bucket 3 or 4 times while mopping & I used to use the eco floor cleaning stuff. Then I go over it with a towel under my feet to get whats left & dry it.
Now I usually just use hot water & dishwashing liquid, but I use vinegar for a million other things & always have lavender & tea tree for the kids hair, so I'll be using that from now on!
I was a dettol fanatic when the kids were crawling!