You can create a personalized Playlist or BuzzCast. A Playlist is built by choosing the sources that you are most interested in, and they appear in the app along with a general category. So if you wanted to hear the latest stories from TUAW, you'd put it in your Playlist and tap the TUAW topic.
A BuzzCast is a bit different. It's an app generated podcast. You decide on the content and each day it will appear in your iTunes library allowing you to hear it on any iPod, iPhone (within the app), or even on your computer. BuzzCasts can be as long as 30 minutes long.
Here's the problem: creating a BuzzCast or Playlist required you to log onto the BuzzVoice site to choose your favorite content. To get the full function of the app, you needed a computer nearby, and were required to jump back and forth between the computer and the app.
Here's the solution: this complexity is going away courtesy of the BuzzVoice iPad app currently under testing.
Correction. The BuzzCast feature is still only available through the web site.