To clear your Bing browser history, you can follow these steps:

1. Navigate to the Bing homepage.
2. Click on the four horizontal lines in the top right-hand corner.
3. Click 'search history' once in the drop-down menu.
4. On the next page, click 'clear search history' on the right-hand side ¹. Alternatively, you can log into your Microsoft account, go to Bing’s official website, click on the Menu tile, select Search history, and hit the Clear all button ². You can also clear your search history directly from your Microsoft account's privacy settings ³.