@iEllaLouise - a desktop can be ideal for playing the game from across the room. There are wireless bluetooth keyboards and mice you can drag around the room to a couch or to the bed. The desktop can be connected to the TV with an HDMI port. Several gamers I know including disabled gamers (I'm disabled with paraplegia, so I'm in these circles) do have powerful desktops that connect to their TVs.
These computers can also serve as DVR stations, so if you want to watch a movie, or listen to music from your own collection, you access your computer through the TV's applications.