Doesn’t sound like you would have any issues with the controls. You would probably just have to configure all the controls in the emulator settings. The Xbox one controllers don’t need to be paired to the ALU to work with the emulator. I would connect them to the computer.
If you need your pc displayed on your tv, you will need to move your pc near wherever your tv is. You could get a computer cart so that it’s easier to move around if everything is on the same floor.
Something like this
You could get a small stand (or mounting bracket) to get your tower off the floor. Depending on where your fans are, it could help keep it cooler than sitting on that carpet.