I recently went through several boxes of old family photos and digitized them. I learned a number of things in the process.
There are/were vast differences in the quality and longevity of different photo printing methods. Most of the photos that were about 50 years old had faded and color shifted, each, it seems, in its own peculiar direction. Trying to bring them back to proper color was a nightmare, not made easier by my lack of skill with Gimp. But some of the photos from 50 years ago looked like they might have been printed last week. The colors were still vivid. I have no idea what process was used on any of these prints, but it was very clear the process makes a world of difference.
Whatever you decide to do with the prints, I strongly recommend getting some archival quality sleeves to individually store them. Even if you then put them in an album, put them first in archival sleeves. The prints will be protected and will never again be exposed to fingerprints. They won't get scratched. They'll be reasonably well protected against UV fading. Then lock it all in a light-proof vault. Light is the mortal enemy of photo prints and even good quality UV protection will still allow some small amount of UV to penetrate. Keep the prints in a tightly sealed box and you should have few problems with fading.
Honestly, though, if you really care about preserving these for posterity, just keep them digital and use some kind of offsite backup. Know going in that you'll probably have to move them around several times over the years as companies come and go and technology changes. You may well have to convert them to different formats at more than one point. But the digital copy is almost certainly going to be more flexible and of better quality than any print.