Adobe CC and MacOS Catalina installation/use

Simply looking for a straight up answer about installing Adobe CC apps on macOS Catalina.

I got the fancy new, full screen Creative Cloud app that manages CC installation/uninstalls and updates. Was that it?

I understand most (if not all) individual apps are 64-bit, and have been for that matter.

I still show the AAM files, Adobe Application Manager, etc. being 32-bit on my machine. Just junk Adobe failed to get rid of?

All the updates to 2020  on the 4th were installed. Done?

Each apps system requirements list macOS Catalina (10.15) as supported.

Can I buy a new Mac with Catalina on it and install InDesign, Photoshop, Illustrator Acrobat, Premiere...? Aside from each apps quirkey glitches.