So I looked up some stuff about podcasting and just getting it up on the internets is relatively easy. But, if you are playing copywritten material it becomes more expensive. The live streams have to pay publishing royalties, where podcasting adds recording royalties on top of that. That's a simplified explanation anyway.
So I found this little program
MP3 My MP3 Recorder 3.1 that turns streaming audio into an MP3 (or Wave) file by recording it off of your sound card. So I can now put Johnny Congas wonderful show on my MP3 player and listen at my convenience. There is other software out there that can do this and I will probably play with some others just for kicks.
Now one of the drawbacks to this is that you have to do this in real time, meaning that it takes two hours to record a two hour show. I am considering getting a wifi digital audio boombox for the house as another way to untether the streaming audio and podcasts from the computer on my desk.