Favorite Fonts Export

Hello @17444495
in case you haven't found a solution yet,

You can save\backup your Favorite Fonts,
the solution is to go to your user AppData (User Preference) in that location:
C:\Users\YourUserName\AppData\Roaming\Adobe\Adobe Photoshop CC 2018\Adobe Photoshop CC 2018 Settings
and look for the "User Preference" file:
Adobe Photoshop CC 2018 Prefs.psp

In this file Adobe Photoshop CC 2018 Prefs.psp 
usually saved the all - "User Preference"
And inside the file, there is also strings with your favorite fonts

So the solution
if for example you updated to latest version 2022
So copy the "old" file - "Adobe Photoshop CC 2018 Prefs.psp" to the same location,
and only change the "year", for example if it was 2018 - change it to 2022,
And after that, everything will show up in 2022.

@Cobra 

Favorites need to be tagged (starred) in each application separately. I like your idea, though!

Jane

If these are Adobe Fonts - they will be available in all Adobe products.

If these are external/third-party fonts, you will need to manage these outside of Adobe Creative Cloud.

I would recommend getting a font management software package.