Microsoft Edge for iOS is a pretty solid alternative to Safari and/or whatever else you may me currently use. Give it a try!
TL;DR: Don't use Edge (yet). Try using the mobile version of your desktop browser for features like tab sharing.
While the switch from IE to Edge did mark the end of an era (of nightmares) for web developers, Edge still falls a bit behind in terms of adoption of web standards. https://caniuse.com/
This mobile version of Edge only offers benefits to those that are still using Edge on PC. While I can't outright say "for the love of all that is holy, do NOT use IE" anymore, I can still say, for your sake, don't use Edge.
Switching to Chrome, Firefox, or Safari on your desktop is still preferable. Better all around support for modern web technologies, much larger selection of browser extensions, more customization, generally faster load times. All of these browsers offer mobile versions as well.
Credit where credit is due: Edge has been closing the gap at an impressive rate since its release. Not there yet, though.
Is a great browser for posting multiple comments on net neutrality to the FCC a year after you die
Doesn't offer anything that faster, sleeker, more feature-rich browsers offer