Been a dream project for years but when I first explored it a decade ago, cat6 was still new and expensive, and wasn't recommended because "who needs internet that fast".
When you're renovating that expense is relative imo. And the cable is relatively cheap imo. Nice wall sockets for them are super expensive though. 200 euro or thereabouts for 500m of cat6, but 20 euro per outlet pair adds up. Definitely still worth it, because like expected there's more stuff to connect.
As somebody who does networking for a jerb, you are getting ripped off if you are paying $20 USD for a CAT6 wall plate. What you want to get is punch down keystones and a keystone wall plate, at least half the price. Maybe that's what they cost at the hardware store though, I haven't ever had to buy one from there. I order all mine.
I went all out with Cat6A. I have some 10Gbps capabilities with my home lab, and although I currently do not have any 10GbE copper capable systems, I thought I'd try to go future proof.
My only regret is that I only went with riser grade cable - plenum was way too much, even for plain Cat6.