This is not a troubleshooting question; I am trying to expand capabilities. I have a Roku working on one TV, but I would like to set up a different TV in a different room and be able to switch the Roku output between them on the fly. I know that I could easily get a second Roku stick, or physically move my Roku from one TV to the other, but what I need is to switch it from one TV to another in the middle of a video, without losing my place in the video. I live alone and am only planning to watch one stream at a time, on one TV at a time. But the videos I plan to do this with are "nearly live" sports games, and I don't want to have to manually find my place in the video when I move to a different room and switch from one TV to the other. In other words, I don't want to either have to re-watch a lot, or risk jumping too far ahead and spoiling part of the game result. The app I am using to stream these games doesn't seem to keep track of my place in the video through my online account, like Netflix would for example.
I understand that the best solution may not be a Roku solution. Perhaps there is a device I can plug my Roku into that either passes through the HDMI to my TV, or projects it over Wi-Fi to a device plugged into my second TV? Or perhaps there is a device I could plug into the other TV that I could tell the Roku to directly stream to instead of outputting to its HDMI output? Arrangements like these would work as well, and I am open to yet other options.