Hi D....you have some good advice on this already, but just to reiterate--DAMP mop...vinegar is good because it helps the water to evaporate faster. Any long term wetness is damaging to wood floors. I work in janitorial supply, and we sell very little for wood floors because they are so easy to damage. I have known of many people using floor finish (which is really for vinyl tile-aka "floor wax" but actually has not contained wax for decades) on wood floors, but you can never strip it off because you have to use water and ammonia to do that, so beware of any "polish" or "wax". It is correct that polyurethane is what give the floors their shine, and once it starts wearing off (which takes years) the only way to restore is to refinish, so unless they look really bad, you may want to stick with just knowing they are clean and not worrying too much about shine. If you are ready to refinish, Home Depot carries a product called Liquid Sander that removes polyurethane easily without using a floor sander. Will not remove dents or gouges that are in the actual wood of course, but if you can avoid a floor sander you are much better off, you can do more harm than good with one of those if you are not a trained professional. Laying polyurethane is also a fairly precise skill, as any uneven application will probably show once it dries. You could cut down on finding gunk at the edges by starting there instead of inside perimeter, therefore drawing the dirt away from the wall instead of pushing it to the edges. These are just a few tips I have learned over the years, I am NOT a wood floor professional, but I hope it helped! Best of luck!