You're planning it incorrectly. Generally ALL jacks need a single run back to the basementUUtilities/Comms area of home where the large main switch is. The internet feed should also enter and terminate there. Then devices are connected or patched to wherever in the home you need.
Wiring 1 room to another is the wrong way to do it.
DON'T use network cable splitters, use at minimum a Gigabit switch with enough ports to do what you need, ideally with extras