Cool -- thanks for the replies!
I have been listening to podcasts on my commute with my new phone and it's so much better than my last phone -- instant response, hardly any time to load and open apps, can stream on my commute *both ways* and still have battery left to get me through the day without recharging. It seems it to be the right time for me to sign up!
I didn't realize they were part of Amazon when I first posted -- I had seen the Audible ads and thought it was some sort of a partner thing. It does reassure me a bit since one of Amazon's "things" is that they will store your content and I won't have to worry about it disappearing unexpectedly.
Time to start another wishlist!