blokewhoknowsnothingabouttech :
Thank you very much. I have one question though, does this affect performance in any way? I want to project footage from AAA games and I'd like maximum performance. No framedrops!
Games are hard. Most of these remote desktop programs get speed by compressing large areas of the same color (windows) and encoding text as text instead of pixels. I think Remote Desktop uses some sort of pass-through for video to help reduce bandwidth.
Unfortunately, game graphics don't compress well, and they're not pre-compressed video so pass-through doesn't help. You need to compress their output in real-time using a video codec, and stream it to the remote computer. This will degrade quality (compression artifacts) and introduce latency (takes time to encode the video). 5 years ago you would've been laughed out of the room for suggesting it. Modern hardware is just barely capable of doing it.
The only two apps I know of which can do games in a reasonable fashion are Splashtop and Steam In Home Streaming. They will run over WiFi (802.11ac highly recommened), but ethernet is preferred.