Mozilla, at least, has shown they're not married to Google - they had Yahoo als the default search engine for a couple of years because Yahoo was the highest bidder.
Edge used to be an alternative on Windows at least, but now it's also based on Chromium. :-( I'd always prefer Firefox, but if you want to avoid Google money, you're basically up to Microsoft or Apple. The latter tying you to a hardware monopoly.
Search - I use Startpage, DDG, Mojeek