Well, I had been about to suggest using 200 Mbps AV distribution using data over mains but the problem I considered was that of suggesting something which might be incompatible with some Sky or Virgin box.
AFAIK, while there are a number of solutions for multi-room, multi-zone handling of music, so teens could be in the kitchen and garden with music for a BBQ, grandad could be in the lounge listening to classical and you could be in the en suite bathroom on the top floor with your choice of music, there's no simple solution (AFAIK) which allows for the same for video.
Once you consider Sky or Virgin are primarily offering channels where subscription payments are needed, you have the complexity of not being able to simply copy those films / music channels / TV shows and play them anywhere... they are usually locked to the box by encryption, and thus playing on multiple devices can be a problem unless going for multi-room or similar.
I would have suggested FreeSat but if you are unhappy with choice on Freeview then you'll probably not want to consider FreeSat either, and supplement it with Love Film for streaming films to the TVs. BICBW. You are leap-frogging me which is why I would recommend discussing the options with a professional fitter or three to see which options can work and which fall flat, as I don't see any easy ways to feed several rooms from one Sky box (say) let alone allow recording choices to be made from more than one place as suggested earlier.
Might be possible with 'magic eye' type control, but feeding HD is unlikely to be handled well by wireless to several rooms at once, and HDMI cables can be used but depends on layout of house and distances (30m might be upper limit for cheap(er) options - 50 to 200 pounds for the cable depending on make, or you can use 2x Cat 6 cables and some units at each end... units will cost 25 pounds, not sure of cost of Cat6 cable per metre).