Your post didn’t specify exactly the problem you are trying to solve – poor sound quality for streaming, video breaking up, something else? You must have some reason that you are choosing to upgrade your network cabling…
For whatever its worth, I was suffering from a variety of nuisance issues on my network, one of which was excessive video breakup while I was watching TV via the HDHomeRun. Due to the need for more connections at the house patch panel (different problem), I substituted a 16 port switch for the 8 wired connections of my router. The video problems disappeared. Looking back, I see now that the frame rate my router was capable of handling was inadequate for the high video and computer load I had, among which (I found out later) were when my wife broadcasted YouTube from her iPad to the living room TV. By offloading the switching the router had to deal with onto a more capable device, I had “accidentally” solved my problem.
I just did an inventory of my currently connected devices by logging into my router and found the following on wireless: irrigation system, garage door opener, thermostat, 2 iPhones, 1 iPad, 2 Nooks, and 3 TVs. On wired I found the HDHomeRunPrime, 4 computers (there are sometimes more depending on what I’m working on), and the UPS for my server computers. As we move farther into the internet of things (IOT), and have more connected “smart” devices, most of the time not knowing the load these devices will put on the network, I suspect that problems like mine may become more common.
Its unlikely that plugging an “internet coffee pot” in will wreak your streaming or that adding an internet connected thermostat to your furnace will cause other problems, unless of course a network device is defective. But as we put more and more load on our home networks, eventually there will be consequences.
Point is, networking issues can be tricky. If you know the problem you’re trying to solve, its usually easier to figure out what to do. Who knows, perhaps you can add a switch to your network and live with the cabling you have.