I lived for 20 years in a home with Glista (sp?) finished floors: maple, birch, and oak. They were gorgeous! They had been refinished just before I moved in. I was told to use just a little water (ie. damp rag, well wrung out) and, if needed, a tiny bit of white vinegar. That's what I did every so often, and the floors were still gorgeous when I moved out.

You might also try what I've used for 31 years on my oak/polyurethane floors: Bona Kemi. They make two good products I like-1. the Cleaner and 2. The Floor Finish. Apply with a damp mop. Some people here hate Bona Kemi, say it leaves a dulling film. I have not found so. I recently hosted a party in my home and prepared by doing the floors with BK. They were so shiny my SIL asked if I'd had them re-finished!

I have a kitchen floor with Glitsa Finish. They make a cleaner for the floor - Glitsa Clean - that can be bought as a concentrate. Put it in a spray bottle and add distilled water. I use that for cleaning. I was told to stay away from any product that was OIL BASED because that would make it impossible to do spot refinishing later.

I also see that Libman makes a spray mop that can be used with your own cleaner.

I believe that is the flooring I had in my previous home. It was Kahrs flooring and I had the American Cherry, which is what yours looks like. 1 gallon of water and 1 cup vinegar works fine.
Sandy