Because Firefox is so awesome, we can have it delete our browsing history automatically when it closes - unlike Internet Explore, which does a partial deletion . . . :roll:

  1. On the tool bar, click Tools and then “Options…”
  2. Click the Privacy tab. In the “Private Data” section, check the “Always clean my private data when I close Firefox” button and click the “Settings” button

    Firefox's Clear Private Data Settings

  3. Tick the “Browsing History” check box and any others you’d like to clean automatically

    Clear Whatever Your Wish

  4. Click Ok

Optional Confirmation

You can choose to have Firefox double check with you before it deletes these files, Under the “Privacy” Tab, in the “Private Data” section, check the “Ask me before clearing private data” button.

Have Firefox Display A Confirmation

Internet Explorer 7

Learn how to Delete Internet Explorer 7’s Browsing History Automatically When It Closes.