As we've learnt, Chrome has a ton of google-specific code built into it(most notably the tracking id on youtube that was exposed few weeks ago) and a ton of background requests.
MS Edge is not that different. Sure it is cleaner Chrome but MS is the big daddy of tracking, just like google. they just call it "telemetry" instead of spying. their edge won't be any different.
Any other web browser out there is essentially derived from chrome. So I put zero trust in any of them. If mozilla would make FF into OS work that others could use to build web browsers off of, like chrome, it would be much better environment because there are no options left. Webkit has been superseded by chrome these days, gecko is slow and outdated(is it even public?) and so on. So the only way to sort of safely use your god damn web browser these days is to filter all the traffic manually(pihole, host file or advanced firewall) and use a ton of adblocking extensions that allow you to spoof referrer header and clean up headers and cookies altogether(google cdn, google captcha, google analytics, goodle dns, google this and google that).... even then google has so much data that just by ip address they have your persona pinpointed to a byte.
If you look at how much external resources the websites pull in these days, most if it has some sort of tracking in it, even if you do not see it directly(mostly cdn stuff).
tl;dr they are all bad. if it is free, you are the product. it's as simple as that. and they will make opting out so impossible that you just give up.