This is a discussion on Streaming PBS within the Amazon Kindle Fire Help forums, part of the Amazon Kindle Fire Forum category; How do I stream PBS on my Kindle Fire 4th generation?...
How do I stream PBS on my Kindle Fire 4th generation?
I think I can answer your question. I use a Fire HD 7 from the 4th Generation (2014 I think), so hopefully my experience translates to yours.
If you're asking to stream a PBS television program, there's a free app called PBS Video. If you're interested in radio, you'll want the free app called NPR One.
In either case install the app from the Amazon App Store. The NPR One app prompts you to select your local station(s) at the outset; you can sign into the PBS Video app so it remembers you but I don't think it's necessary to do so. Full episodes of lots of their regular programs are available
The NPR One app is a favorite companion when I'm traveling for work. It seems to "learn" what stories I prefer and serves up similar ones.