Do you have anything else in this bedroom system besides just the TV set (and maybe a DVD player)? You must have access to audio signals of some sort in order to use ANY type of headphone. Does the TV set have an audio OUTput to feed sound signals to an external sound system? If it does, then you can hookup a wireless headphone to it. In order to use a wired headphone, you need to have a "headphone jack" available which you say the TV set doesn't offer.

More info is needed here so that I might be able to help you further.