Really recommend the vorfreude spray mop. It has microfibres pads which are easy to get on and off, they just attach with Velcro. It has a trigger in the handle to spray floor cleaner (Method floor cleaner is great and I find doesn't leave sticky residue lots of floor cleaners do) and is so easy to manoeuvre.
I agree to try a steam mop again. Regular mop and buckets just push dirt around so the floors don't actually get clean which is why some people end up with build up in grout and their floors darken. Microfiber mops leave the floors sticky as they can't pick up as much moisture and product.