Kinomap is not available on Apple TV yet.
However, you can mirror the video content to your Apple TV thanks to the AirPlay feature.
You can read more about this feature here: https://support.apple.com/en-gb/HT204289
When you start mirorring your screen, the App on your iPhone/iPad turns into a remote control:
This is a fast and stable solution if you want to display the video on a bigger screen.