The Tor Browser folks have done some excellent work to reduce the fingerprintability of the browser. See "Specific Fingerprinting Defenses in the Tor Browser" here: https://www.torproject.org/projects/torbrowser/design/#finge....

For Firefox and Chrome there are canvas fingerprint blockers [1] and [2]. These are heuristic based, so you'll likely see a bit of false positives. uBlock Origin includes an option to prevent the leakage of local IP addresses [3].

[1] https://addons.mozilla.org/en-US/firefox/addon/canvasblocker...

[2]https://chrome.google.com/webstore/detail/canvasfingerprintb...

[3]https://github.com/gorhill/uBlock/wiki/Prevent-WebRTC-from-l...