Why Wired: More secure & stable, you can avoid bottlenecks.
You will just need a switch, a good switch, I’ve used Netgear Prosafe stuff and it runs pretty well. 100m+ of Cat 5e/6 Ethernet cable (it’s surprising how much you use), connectors and crimping tool.
If you can run each wall socket with its own cable to the switch you will avoid having bottlenecks. When looking at switches, always buy one with way more sockets than you will use, it’s surprising how things just seem to expand. I put everything, switches, router, wifi, nas all in the airing cupboard with a little ventilation, central spot keeps it all neat n tidy, also means you only have to go to one place to fix a problem.
When I did this at home, we installed 2x lan sockets in each room. While this is fine for the bedrooms, over the years the devices have been added to in the living room, now using 7 ports. So whatever you do decide on, I would add some more for the future.