How do I save podcasts to the new Apple podcasts app?
The podcast app is a bit convoluted to know which episodes are unplayed but available for streaming and unplayed and downloaded. I haven't been able to tell visually which is which and am in the habit of turning on AirPlane mode to check which podcasts are actually downloaded then going back and downloading them if needed before leaving Wi-Fi or wireless range.

The manual for iOS 6 is actually great for things like this.  (If hit that link your phone, you can save it as a webapp on your home screen for other issues.)

Here's the relevant section on your question:


  • Download an episode so you can listen to it when you’re not connected to Wi-Fi: Tap the "down-arrow" icon next to
  any episode.