I'm open to correction but I think the Sky remotes will only operate televisions and not DVD recorders, as well as the Sky box itself.
If you are using Sky for your signal and feeding it to the DVD recorder and then on to the television it may not be the best solution - it's similar to the old way of connecting arial -> video recorder -> television, when you could watch one channel and record another. If you have a regular Sky box you will have to watch the same channel as is being recorded; if you have a Sky+ box you will be able to record one channel on the Sky+ box and watch another on the television/DVD recorder.
Given that your spending the money you would be best to connect all the devices together using SCART leads rather than coax, as it will give a much better quality signal. A side-effect of this is that the tuners in the DVD recorder/television will become redundant as there is no need to "tune-in" when connecting using SCART leads.
Hope this helps
S.