If you are new to Windows 10 and the Microsoft Edge browser, here is a useful tip to help you automatically clear your browsing history every time you exit the browser. All you have to do is enable one setting. Here's what you need to do.
Simply launch Microsoft Edge and click the settings button (three dots) located at the top-right of the screen. Tap or click on Settings and you will be shown the settings menu. Tap or click on "Choose what to clear" under Clear browsing data. Select the option to clear your browsing history (and cookies or cache files if you so choose). Enable the option to "always clear this when I close the browser."
Now every time you exit the browser, you can have your history erased automatically. You can also choose to automatically clear your browser cache or erase your cookies upon exit. Please note, in order to use this feature, you will need to be running Windows 10 build 14267 or higher.