Use vinegar and water to get the dirt off and make sure you dry the floor as you go along. Home Depot and Lowes sells floor polishes made for hard wood floors.

Both Bona and Bruce make excellent cleaners that help leave a shine to you wood. Use as directed because you should never use a water mop on application on wood.
use just a terri cloth “dust mop” to clean and dust in between cleanings.
Any questions you can e mail me through my avatar. GL

Hi, I damp mop only when it looks like it needs it with only a slightly damp mop rinsing the mop regularly. I just use warm water as we like going barefoot and I like natural products. Do not use ammonia based or oil based soaps as they dull the finish of your floor. Once in a while I use a 1/4 cup vinegar to 1 gallon water. I attach a towel to my swifter and quickly dry mop it if it is cold out and it is not drying quickly. http://www.hardwoodlaminateflooringguide.com/cleaning-hardwood-floors.html Hope this helps.