Kit to allow me to record uk digital radio (not internet) & end up with it on my comp

At the moment I’m using a TV DVD/HD recorder (Freeview) to record particular UK radio shows, then I copy them to a re-writable DVD disk from the machine’s HD (or record straight to DVD) then put that DVD in my computer and use two bits of software (Mac DVD Ripper, then Audacity) to end up with nice mp3 file.

It’s no longer practical for me to use the TV recorder machine.

What could I buy/use instead?

Just radio this is. Preferably whatever I go with won’t require a TV screen, but maybe that’ll be necessary as I want to record particular channels at particular times and TV based stuff seems to have that much better covered.

Reasonably cheap but good quality and a hardware system that’s as minimal as possible – that’s the goal. Any suggestions? Thanks.

Oh, just to make clear: I want to record from broadcast in air, not via internet.

Does anyone know anything about these devices?:
http://www.ebay.co.uk/itm/FREEVIEW-SET-TOP-BOX-plus-RECORDER-Digital-TV-Tuner-Receiver-4-Digi-Switchover-/141164387178?pt=UK_AudioElectronicsVideo_Video_TelevisionSetTopBoxes&hash=item20de0d9b6a
I can’t even work out what make it is in order to find out stuff about it.

It fails on my no TV screen required stipulation but apart from that it looks like it might be something like what I’m after.

So anyone got any experience or knowledge of it?

There are loads of recorders for sound only but I would say that each OS comes with its own preinstalled.

Not sure about Audacity because I, as yourself, only used it for editing but it may be possible that Audacity itself could do the job.