I was bought up on InDesign, and Publisher is better (unless you use any of InDesign's niche features or need InDesign as part of some production workflow for which it is not easily replaced). Most of the concepts are interchangeable.
Illustrator has some tools that Designer doesn't yet have, but it's very capable.
Photo is the biggest leap since it does things in slightly different ways to Photoshop, and Photoshop is a beast, so I suspect there are still some features to catch up, but I imagine for most use cases it's very capable.