There is a very simple trick which you need to use if you don’t want to delete history Automatically in Chrome Just visit Sites in INCOGNITO WINDOW . Check below image when you exit this browser all history will be deleted
To Automatically Delete History in Firefox Android
This option automatically deletes your selected data (bookmarks, browsing or search history, saved passwords, and more) every time you quit Firefox:
Tap the menu button (either below the screen on some devices or at the top-right corner of the browser) and select Settings (you may need to tap More first) .
Tap Privacy and put a check mark next to Always clear when quitting.
In the pop-up window, select the types of information that you’d like to delete each time you quit Firefox, then tap Set.