I'm in a similar situation. I used to use Google Listen for podcasts (which was backed by Reader). I never used the online interface, but I've been using Listen a lot.
I tried a bunch of different free and paid apps, but I settled on Pocket Casts, which wasn't free. I'm happy with it - it syncs cross device, it has good config options, it looks gorgeous. I don't think there's a web interface, so it might not be the best for you.
I tried a bunch of different free and paid apps, but I settled on Pocket Casts, which wasn't free. I'm happy with it - it syncs cross device, it has good config options, it looks gorgeous. I don't think there's a web interface, so it might not be the best for you.