All I use is a Sound Blaster Live (you can buy a better card, but I doubt that you'll notice any difference in sound quality.) I run a stereo cable from the HEADPHONE out on the ASR-10 to the LINE IN on my sound card. Then I use a little program called AUDACITY to record my music. Goto GOOGLE and search AUDACITY. You'll find it easily, and it's small and free. It will save your files as an MP3. However, I had to also download a very small .dll file that the program told me it needed in order to save MP3's. All I did was GOOGLE the name of the .dll file it needed and found it very quickly.
Here is a few sample songs recorded with my cheap sound card, done just the way I outlined above using that little AUDACITY program.
http://www.myspace.com/michaelchipps
Check out the sound quality. Not bad for going a very easy and cheap way.