I dont think thats a very good solution tbh... First, there is no tv / aerial in the bedroom upstairs, it goes directly from the roof down through the walls to the living room. Secondly, therell be a lot of loss in picture quality which would defeat the whole object... Spoke to my dad yesterday and told him that its doable, the best solution would probably be a high quality AV transmitter and receiver that plugs directly into the scart socket + any readily available remote repeater.
About the same loss that you suffer on your terrestrial pictures really. Perfectly watchable. If its HDTV then stop being a tight arse, pay for multiroom and let sky come out and sort it.