Use any screen or projector connected to a linux box or AppleTV for streaming. Personally I use an old laptop running Kodi.

What sort of screen? Well, whatever you can tolerate. I use a very old commercial display I got through an e-waste reseller. It’s not great, but it was cheap ans has worked fine for years. If you insist on a “TV” screen or any monitor/projector with connectivity, pick one you can root. As other users have pointed out, simply “don’t connect to the Internet” unfortunately isn’t enough to guarantee your data stays private.