I mop using a microfibre mop from Big W, in hot water with a smidge of dishwashing liquid. When we has lino all the way through, i would sweep in between mops. Get a good broom.

Sometimes a quick swizz with the mop through the kitchen/dining drop zone will save your sanity. Just because you have the mop in your hand doesn't mean you have to do the whole house! Also, i have been known to spot clean with a damp cloth under my foot. Just sayin'