I sometimes use IE, too. If you haven’t, you may enable it by a Cortana search of “Windows features”, then choose “Turn Windows features on or off”.
Does Chrome Browser work with SharePoint?
It's not that Edge doesn't work with SharePoint. I can go to the SharePoint sites using Edge just fine! Only thing is: if you hit the button in the ribbon to open that specific SharePoint site in Windows Explorer, that only works from Internet Explorer. And I think this is because in the background Windows Explorer and Internet Explorer are very much the same; they just have a different interface. Edge on the other hand is completely different from Windows Explorer.
And when it comes to OneDrive for Business: that's SharePoint in the background as well, so the same issue.
Edit: Chrome etc. doesn't work either.
Why SharePoint ribbon buttons are unavailable
See this part:
Open in Explorer is grayed out
Open in Explorer is a super helpful feature, though under some conditions it doesn't work. The following are some specific problems and fixes.
For additional troubleshooting and requirements for Open with Explorer, see
Copy or move library files by using Open with Explorer.
It's because it is using Active X components