The easiest and cheapest way is to sit them beside each other and use a cross-over cable, it will cost about £3-4. If you are already using the ethernet port on your PC for braodband you'll need a router with the broadband on the WAN side and the PC and DVD on the LAN side.
if it's a Kiss, the instructions on how to connect it can be found
here. Otherwise let us know the make and model.
Personally, I'm dithering between waiting for the Kiss
DP-1508 (about £250), which will take a Wi-Fi card or, since I have a DVD, the Pinnacle
ShowCenter (£200) which will also take a Wi-Fi card (£30) and has a component output - but doesn't seem to stream net radio (it may be possible though, depends if the URLs can be put in the MP3 playlist in the same way as the SLIMP3).