Hi dan, I was the same as you, I was sick of spreading dirty water around and not really cleaning and seeing DD's knees still dirty from crawling after I had washed the floor.
Just before xmas I brought a Kenwood 5000 steam mop, only for tiles etc not carpet. I absolutely love it and will never use a normal mop again. The only thing I dont like about it is that the cord is short and I have to use an extension cord for my house but I do have a large open space that I mop.
Other than the above I cant find anything else wrong with mine, it does a great job, floors come up looking nice and clean. We have wood look vinyl strips.
My mum has just brought the model down from the one I have and she loves it too.
If you have any other questions just ask.