1. Of course I want to watch it on TV!! I didn't buy plasma and now OLED TV's to watch content on a small computer screen when at home. I have the video and sound system in my living room to get a movie theater experience, so I want a good image and sound quality source.
I assume your plasma and now OLED TV must have inputs which can be connected to a PC. Something like HDMI, or even VGA. I use my Chromecast as an intermediary
2. I've seen some kodi. Most of what was initially demo'ed to me, was live tv feeds from somewhere in Russia or eastern Europe. My other question is....is this legal content? I'm guessing it is grey area at best.....and if illegal, how is my kodi receiver receiving the signal? Where does it come from? Is it traceable like a torrent is?
Grey market at best. General best experience is through "Exodus" Addon (which is not an "official" addon, so the Kodi team can maintain they have nothing to do with it). It will scavage "streaming sites" for locations to get videos, and show the sources. A lot are on "GVIDEO", aka "Google Video". Haven't figured out yet if these are hidden Youtube videos, hidden Google drive files, or what. But Exodus doesn't use Torrents (some addons do).
Torrents are easily tracable because of the Peer to Peer nature, the MPAA/RIAA can connect to the swarm and harvest IPs to sent threatening letters to the ISPs. Streaming sites won't turn that over without a court order.