Hello,
Thank you for using Microsoft products and posting to the community.
Please note that Brave browser is a third-party application, and I recommend contacting their support for further asistance.
For contents you wish to export:
You can export bookmarks by going to "chrome://favorites/" (which should work on all Chrome-based browsers), and look for an option to export them into an HTML file.
Regarding saved logins, you can typically export them in the built-in password manager.
Regarding cookies, there is no functionality built-in, and you need to use an extension toexport them. Please note that we are unable to recommend one for you.
For other data like settings, it is generally very hard or impossible to completely transfer a browser profile without data loss, since there are lots of data in the profile that is specific to the device and the browser installation.
Thanks for your patience and understanding.
Best Regards,
Johann - MSFT | Microsoft Community Support Specialist