I'm moving in on my own shortly and want...

A DVD player/recorder
A HDD recorded
A DAB HiFi with CD, USB/SD

All in the same unit.

Am I asking too much? Do these exist?

If you want a dvd/hard disk recorder i recommend the Sony RDR - HXD860. It also has built in freeview.
Its a great piece of kit and is easy to use.
I got mine off Amazon, much cheaper than at the usual high street store