So, today, after lots of time working with Apple Support, I found that my iPhone 5s:
~WILL make Podcast App crash after upgrading to iOS 9. Nothing within the phone or linked to iTunes will change that. (except Restore).
~you CAN totally restore phone as a brand new phone, then sync your podcasts from Mac and phone will load the New Podcast App and function.
BUT:
~you CAN NOT then restore your phone with iTunes backup, as it was before, without causing Podcast App to be defective and crash again.
~you CAN NOT buy "iMazing" ($35.00 to use backup feature) to backup your phone, restore phone as NEW, then restore backup with iMazing, without causing Podcast App to be defective and crash again.
So....I can throw out everything on my phone and start from scratch, and HAVE podcasts;
or........I can keep my phone as it is, and use a different app for podcasts.
I should have learned my lesson years ago, with a huge fiasco updating iTunes (spent days, and $100+) to "work around it" with Apple Support:
OR...
Wait until any major new OS goes to its .1 version, then read the reviews and decide if it's a deal breaker, then upgrade when it is much safer