When you identify your profile folder, copy the bookmarks and history files to backup your Edge favorites and history respectively. You will find the History folder inside the same profile folder.

In Chrome and Firefox they are called “Bookmarks,” in Edge “Favorites”: Each browser saves address collections as HTML files and can transfer and import them from other programs.

There are several ways to transfer files from your smartphone to your PC. Microsoft Edge, Windows' main browser, is also capable of such an exchange.