This app was mentioned in 2 comments, with an average of 2.50 upvotes
As others have hinted at, you could try using some "podcatcher" software. I use "gPodder" on my laptop and "podlisten" on Android but there plenty of others to choose from. For starters: https://en.wikipedia.org/wiki/List_of_podcatchers
You will most likely need to find the "RSS feed/XML" link for subscribing to the podcast, often marked by this icon. For ReplyAll the link is: http://feeds.gimletmedia.com/hearreplyall
Having a bunch of podcasts downloaded automatically and ready to play whether or not you're connected is really convenient. Syncing up which podcasts you've already listened to between devices is another problem altogether. I think iTunes handles this (and gPodder attempts to) but in my opinion it's not super crucial.
Edit: Hope that's instructive!
There's also another Open Source podcast app called PodListen , Other than AntennaPod and SoundWaves. ��