Surprised at all the recommendations for Cat6. That's fine for Gigabit. Houses are already being serviced by fiber with speeds that exceed Gigabit speeds, so the minimum I would suggest in 2023 is Cat6A.
I am currently in the same situation but missed the wiring deadline so I am going to end up running OM4 fiber (10/40/100 Gigabit) under carpets for the office/living room/bedroom. Small SFP+ switches are available for reasonable prices now, so you can have a fast 10Gb trunk to service each floor and take 2.5Gb from them.