CrazyLady - is the mop head on this big enough? They look kinda small to me so I could see it taking me forever to mop the floor - we have over 100 square metres of tiles...
I found it flares out quite well because of the strips. It has a slightly rougher bit around the top too where I scrub. My whole house is floorboards. Also if you miss any bits vacuuming then it'll gather them up for ya.

Vinegar and hot water is AWESOME! People use vinegar to wash windows/mirrors so it'd be great on tiles. It's the only thing i've found that brings my floorboards up beautiful too.

ETA: My parents have very pale floor tiles in the kitchen/dining area and this is the only mop they've found that brings them up nice. They had a steam mop but it corroded