Do you get unwanted or awkward words / phrases when you enter a new search term? Google and Bing keep your previous searches to speed up the search results; browsers save the information entered into the fields / lines, as well as the history of visited pages. All of this can lead to nasty surprises when family members or friends are looking at your screen. So clear your search history before it's too late.
Steps
Part 1 of 3: Clearing Google Search History

Step 1. Open the Google History page
The search history is linked to your Google account. You can view your search history by opening history.google.com.
You will be prompted to enter your Google Account password again (even if you are already signed in to your Google Account)

Step 2. Delete individual entries
The first time you visit the search history page, you will see a list of searches for the last few days. Check the box next to each entry you want to remove, and then click "Remove items".

Step 3. Delete the entire search history
To do this, click on the gear-shaped icon in the upper right corner of the story page. Select "Settings" from the menu. In the text, click on the "delete all" link. A window will open asking you to confirm the deletion of the entire search history.
Google does not recommend deleting your entire search history as it is used to tailor the display of search results

Step 4. Disable search history
You can turn off the saving of search history by clicking on the "Turn off" button in the settings. However, this will affect the performance of Google Now and other Google products.
Part 2 of 3: Clearing Bing Search History

Step 1. Open the Bing home page
Sign in to your Microsoft account. To do this, click "Sign in" in the upper right corner of the screen.

Step 2. Click "search history" from the menu at the top of the screen

Step 3. Delete individual search terms
To do this, hover your mouse over the search term you want to delete and click the "X" button.

Step 4. Delete the entire search history
To do this, click "Clear all" to the right of the list of recent searches. A window will open asking you to confirm the deletion of the entire search history.

Step 5. Disable search history
To do this, click "Turn off" to the right of the list of recent searches.
Part 3 of 3: Cleaning up in browsers

Step 1. Clean up autocomplete
Internet Explorer saves previous searches and information entered in special lines / fields to ensure quick entry. This data is kept separate from your search history, so delete it too. Search the internet for a guide on how to clear Internet Explorer autocomplete.

Step 2. Delete your browsing history
Browsing history and search history are two different things. Your browsing history is a list of all the sites you have visited. This list is stored on your computer and can be easily deleted. To do this, read this article.