@Adduxi wrote:use a PoE switch and put a couple of good AP’s in the house. Something like Unifi AC Pro’s. No need for additional routers or mains supply as they are PoE.
Exactly how my house is wired, but people who aren't as technical will go "Eh? Wah?". It's far easier for them to go down PC World, buy another access point and shove it upstairs 🙂
To OP:
The hub and any TV boxes require coax (it's cable-tv remember), but any internet access is done via the hub, so you'll need either ethernet cabling or WiFi for that. If you plan on using stuff like NetFlix via your TV box make sure they get ethernet if your WiFi is going to struggle, as that is delivered over the internet connection.