While using multiple browsers can be a good idea, I'd still steer away from Chrome as it can do shady stuff in the background even if not "opened" (don't have any sort of evidence it does, but still, something to consider), since it is a desktop app.
You should definitely look into Multi-Account containers in Firefox. These allow you to essentially have separate "browsers" (different registries for cookies, storage, etc), which is not only useful for practical purposes but also for privacy ones, even if they are not fingerprinting-proof solutions.
I do, however, have a "Firefox Focus" profile that uses the minimum amount of extensions, has all the nice fingerprinting toggles and has Temporary Containers set on strict. It is really really neat.
Edit: add links