To add a little to @Mattches’s info, inside the BraveSoftware folder (on Windows, macOS, and Linux) is a folder called Brave-Browser, and that holds all profile folders. Usually, the one you want is just called Default unless you specifically add additional profiles.
I’m starting to believe that periodic backup of your profile folder is a good idea even apart from backing up your drive/data as a whole. If you develop an extensive setup, it can take a lot to reproduce it. And if you earn a lot of BAT, that could be lost if something goes wrong with the profile folder. To make a backup, just navigate to the Brave-Browser folder and make a copy of the Default folder or other profile folder (Profile 1, Profile 2, etc., if created), probably in another location on your drive. When I do this, I also compress it, but whatever floats your boat.
I have Chrome, Chromium, and several flavors of Brave installed and all coexist fine. If you install Brave Beta, Dev, or Nightly, they will each have their own folders in the BraveSoftware folder, each with their own profiles.
You can also easily copy portions of your profile, if not the whole thing, between different flavors of Brave and even to other Chromium-based browsers, like Chrome and Chromium. To be safe, I usually do this with a fresh profile in the target browser or make a copy I can fall back on.
In particular, Bookmarks are easy to move as-is. Just find the bookmarks file in your profile folder and copy it to the target browser profile folder, and boom.
