Firefox Environment Backup Extension (or FEBE) is a Firefox extension, which can back up and restore a user profile. Among others, it handles bookmarks, history, extensions and passwords. The extension offers several configuration options to customize the backup tasks, and can also do scheduled backups.
FEBE was rated 4/5 by Softonic, who stated that the extension lets users "create a backup copy of all the important information in [their] browser (...) and restore it in a different location, all in a very easy way."
References
Firefox Environment Backup Extension Wikipedia(Text) CC BY-SA