I have been using a weak mixture of dr. b's with water but I think it is dulling the finish. Just wondering what other people use?

that you are not supposed to use any water on them. But, I guess it depends on how they are finished. It will cause them to splinter.

That said, I use a damp, nearly dry Ecolovables mop after running it over them dry.

Murphy's Oil Soap. If you rinse your mop fairly often as you're mopping, you ought not get any residue.