Tor Browser
Drop-in replacementFreeThe same official browser from the Tor Project, usually installed through the launcher in your app store.
Your files: Nothing to carry across, since Tor Browser keeps no history or cookies between sessions.
Verdict: Yes
Yes. The Tor Project builds Tor Browser for Linux as one of its main desktop downloads, and it is the same browser with the same behaviour as the Windows version.
Tor Browser has always shipped for Linux. The Tor Project's download page offers a desktop build alongside the Android one, and Linux is one of the desktop systems it covers. There is nothing second-hand about it.
The easiest route on Linux is the Tor Browser Launcher, which is in the app store on most systems and listed on Flathub. It downloads the genuine browser from torproject.org, checks the signature so you know it has not been tampered with, and keeps it updated while leaving your bookmarks and settings alone.
Behaviour is identical to Windows. Pages are slow because your traffic takes a long route through volunteer relays, some sites will challenge you or block you, and nothing is kept once you close the window. That is the design, not a Linux problem.
Because Tor Browser deliberately keeps nothing between sessions, there is nothing to migrate. Install it on the new machine and you are where you were.
The same official browser from the Tor Project, usually installed through the launcher in your app store.
Your files: Nothing to carry across, since Tor Browser keeps no history or cookies between sessions.
A privacy-hardened Firefox for everyday browsing. It does not hide your location the way Tor does.
Your files: Imports bookmarks from a Firefox or Chrome export file.
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