You will need CAT 5E cable if running a wired network to each device. Plain CAT 5 will work, but bog down if used to stream over 1gb over a short time.
If you have the proper fiber router from the cable company then all you need to make sure is you have a wifi router that can handle 1gb network that is connected to it. If it's an all in one unit, then you only need at least the 5e cable to anything you have coming in or out of the main router.
If you still have an old wifi that only handles 100mbps connected to that fiber router, then anything connecting to that wifi will only be 100mbps at best.
Good luck! Mitch