Best way to divide TV roof antenna to several rooms
For that many outlets, you should invest in a "TV distribution amplifier". A search using that phrase brings up many suitable products.

You'll be much happier with the results compared to a "tree" of passive splitters.

Optimizing the cable runs is a separate question that depends strongly on the physical layout of the house. Per-floor amplifiers might make sense in some cases, while per-wing amplifiers might make sense in others.

It might make sense to use one 2- or 3-way passive splitter to send the signal to multiple distribution amplifiers.