Hello smithjw16,
Welcome to Apple Support Communities!
First let's address the issue about Photo Stream shutting down and if you'll lose your photos. The article you came from proves the information your need in order to save your photos and that is to ensure you save them to your device and then set up iCloud.
"Save photos currently in My Photo Stream
If your photos currently in My Photo Stream aren’t already in your library, you can save them to your device.
On your iPhone, iPad, or iPod touch
- Open Photos and tap Albums.
- Tap My Photo Stream > Select.
- Tap the photos that you want to save, then tap the Share button
> Save Image.
On your Mac
- Open the Photos app, then open the My Photo Stream album.
- Select any photos you want to save that aren't currently in your photo library.
- Drag them from the My Photo Stream album to your Library.
Set up iCloud Photos
You can turn on iCloud Photos on any iPhone with iOS 8.3 or later, iPad with iPadOS 8.3 or later, or Mac with OS X Yosemite or later. After that, you can view your photos and videos in the Photos app on your iPhone, iPad, Mac, Apple TV, iCloud.com, and even sync them to a Windows PC using iCloud for Windows.
Learn how to set up iCloud Photos on all of your devices"
Information about the My Photo Stream shutdown
The issue with your photos not syncing across your devices, you'll want to follow the steps in this article: If your iCloud Photos aren't syncing to your device
Let us know if you have any questions.
Thank you for using Apple Support Communities.
Take care!