600D doesn't have WiFi. You can stream via HDMI or USB. USB stream for cams not supporting UVC (in general every EOS before Digic X and even some of those) is limited to 576p. Don't get your hopes high subscribing to EOS Webcam Utility Pro. Canon says it is able to deliver 720p and 1080p but they are scaled up from 576p. And you need a dedicated mic. No audio support via USB or HDMI in early cams.

Thanks for taking time to explain. Perhaps I should also take time to share our setup in some sort of blog or gist.