The examples on the rtl-fm page show how to pipe audio data to your speakers, but what I had wanted was to stream this data over my network. This is the solution I came up with, using shell scripts.
I used LAME for mp3 encoding, and VLC for streaming. The settings used here are 320 kB/s and port 8080. I put these aliases into
I also put some local station shortcuts in there:
To listen to WXJ87, for example, you could run:
Now you can use a media player to play your stream at