I have had a 'proper' mop (long stringy mop with wringer bucket) for the last several years, and have recently gone to an el cheapo sponge mop and I love it!

I do know the long stringy mop cleans better. I used to work at a bakery and had to mop at the end of the day and we always used to long stringy mop and super hot water and it (along with lots of elbow grease) cleaned brilliantly. One day the bucket broke and I had to use a spongy mop and it was hopeless in comparison.

But given my floor is not covered in dough and hundreds of customers, the spongy one works just fine for home. The problems I found with the long stringy mop at home are that it gets your floors very wet (hard to really wring out properly), and its really a lot of work. I was disinclined to mop because pulling it all out and wringing it etc was a bit cumbersome. Sponge mop- super easy, and my floor seems pretty clean. (mind you, it is a polished wood floor so it seems to hide a lot of sins)

I havent tried the microfibre strip mops, although I was tempted. Would be curious to know how it goes, or of anyone else's experience with them.