LibreWolf
Drop-in replacementFreeThe same browser, from Flathub or your system's app store. Settings and extensions behave identically.
Your files: Imports a bookmarks HTML file and saved passwords exported from LibreWolf on Windows.
Does LibreWolf run on Linux?
Verdict: Yes
Yes. LibreWolf is built for Linux first and is in the app store on most systems, as well as on Flathub. It is the same browser you ran on Windows.
LibreWolf publishes Linux instructions on its own site covering Flathub, a standalone AppImage file and distribution repositories, alongside the Windows and Mac versions. Linux is not an afterthought here. If anything it is the better-served platform.
It is a version of Firefox with the privacy settings already turned up: telemetry stripped out, tracking protection hardened, and cookies cleared when you close the browser. That last one is the setting most people trip over, since it logs you out of everything each session until you change it.
There is one difference from Windows worth knowing. LibreWolf has no built-in updater on any platform, so on Linux you want to install it from your app store or Flathub and let that keep it current rather than downloading the AppImage and forgetting about it.
Moving across is a matter of exporting your bookmarks and passwords from LibreWolf on Windows and importing them on the new machine, since LibreWolf does not set up Firefox account sync for you.
LibreWolf on Linux, and alternatives
Firefox
Close matchFreeThe browser LibreWolf is based on. Less strict by default, but it syncs and updates itself.
Your files: Reads the same bookmark and password export files, and syncs through a Mozilla account.
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