Yellowstone Streaming Series

Season 5 of Yellowstone will be available on Paramount Network, which you can stream on any of the following services: Philo, Hulu Live TV, Sling TV, fuboTV, YouTube TV, Vidgo, and DIRECTV STREAM.

The first four seasons of Yellowstone are available to stream on the NBC streaming service, Peacock. The service has a free plan and a premium plan for $4.99 per month. Episode 1 of season 1 is available through the free plan. However, if you want to watch all the episodes of seasons 1-4 of Yellowstone, you must subscribe to Peacock Premium. Sign up for Peacock here.

Yes. You can purchase the digital copy of every season of Yellowstone. Each season costs around $20. By purchasing the digital copy, you can watch Yellowstone whenever you like and as much as you like. Choose from these options:

Yellowstone is not free with your Amazon Prime Video subscription. The episodes are $2.99 each or you can purchase the entire season for $19.99. 
No. Yellowstone is not available for viewing on Netflix, Hulu, or HBO Max. New episodes are available on Paramount Network (not Paramount Plus) and pervious episodes are available on Peacock. 

No. The streaming service Paramount+ does not carry any season of Yellowstone.

Yes. Streaming services that carry the Paramount Network include DIRECTV Stream, Vidgo, FuboTV, Sling, YouTube TV and Philo. 
Episodes of 1883 are not available on Peacock. They are available on Paramount Plus and available for purchase on Amazon Prime Video at $2.99 per episode or the entire season for $29.99.