Help Bass changes from carpet to marble floor?

How does bass response change from a carpet floor to a marble/tile floor? I am relocating to Europe, so wondering what to expect. My speakers are Audio Physic Yara (downward firing bass mounted on a stand). The current listening room size is 20x10 and the new one will be about 22x11 feet.

I have been debating on adding a sub-woofer to get a "little" more bass extension. I am not looking for hard hitting bass but something warm that just fills in. I am looking at the ACI Titans or Force and they are much cheaper here than Europe. Hence, I want to make a decision before I move.

Any help would be greatly appreciated!