5 Kodi VM’s for 5 Smart TV’s?

I’ve just recently been introduced to Kodi, and I was very impressed. So with my home project of wiring the house with CAT6 cable, I started wondering if I could load up 5 VM’s of Kodi on a server and somehow stream to 5 smart TVs? My first thought was to get a managed switch and route the networking to those TV’s and use a CAT5 to HDMI converter, but not sure if that will work. I’d like to just wire the rooms once. I’m not sure how to handle the video/sound if possible with the CAT6 cable or another option.

I’m running Kodi on a Fedora 25 VM if that matters.

Thanks in advance.