Depends on how much you want to fish wire. I have an hdtv in my bedroom fed via Component from a sat box in the basement. I used mini RG59 because it was small and easy to fish five cables. The total run is about 70 feet.
I have a bathroom hdtv fed via a 35 foot component cable I bought from monoprice, fished straight up through the wall from the basement to a wall plate.
I have an hdmi wall plate in my garage fed from the same receiver that drives the bathroom, 35' hdmi cable runs to it. All of my sat receivers also run in sd through a D/A to every tv in the house. I have an I/R repeater/emitter system run through the D/A. So, two sat boxes sit in the unfinished basement, nowhere near any of the tvs that I use (but there is a tv there).
There is no reason that the receiver needs to be in your bedroom. The tv doesn't care. Put it in a closet, basement, wherever. As long as you run the cable correctly, you'll be just fine.