Hmm... I think there's a plasma missing from your picture.... ;-)
If the chimney breast is solid, there's no way you can put the cables in the wall unless you add a false front to it. Alternatively, trunking or pipes that are camouflaged to look like some sort of support - I can't no Carol Smile, but that's what I'd try!
As always, I recommend that if your putting wires behind a wall, put trunking in instead so that you can add or change the cables at a later date without taking the wall down again.