I've been commissioned by the architects to photograph interiors of a new high school which will open this fall. I did some scouting shots today and noticed that the fluorescent ceiling lights reflect prominently in the shiny tile floors.
I will be shooting digitally with a Canon 5D and 24mm TS-E and 35mm PC Nikkor lenses. I have a fair amount of lighting equipment and can borrow more if need be, but the number of views the client has requested and the budget he has given me dictates that I shoot available light as much as possible with augmentation only where absolutely necessary.
My question is this: are those reflections acceptable in good interior photography technique? If not, how can I reduce or eliminate them?
All suggestions gratefully accepted.

This is my first interior job for what promises to be a really good client and I want to please and impress him. (And also come up with some good portfolio pieces.)