History Cleaner for Chrome and Firefox allows browsing history to be deleted after a user-defined time period.
This extension/add-on is simple to set up and use and is part of Mozilla's recommended extensions program. We found during testing that there was no icon available for Firefox (possibly a Virtual Machine limitation - Chrome does), so you will need to manage it directly from your browser's extension manager. From there, you can select the number of days you wish to keep the browsing history. Another neat choice is the idle length; here, you choose the amount of time the browser should idle before history deletion (up to 15 mins). You can also opt to have it done upon startup as well. There is also the option to have it display a notification when the history is cleaned as well as manual deletion.
History Cleaner is a straightforward but well-rounded extension/add-on that gives you the option to cut a few unnecessary steps off the process of history cleaning.