How to Delete your Browesing Data

Chrome

Click on the menu "hamburger" icon in the upper right corner and select Settings > Show advanced settings... > Privacy and then tap the Content settings button.
In the next window that opens, under Cookies, select the radio button that says "Keep local data only until you quit your browser."
Press Done at the bottom of the window, close the settings tab, and that's it.

Firefox

Click on the "hamburger" icon in the upper right corner and select Options. Then in the window that opens, click on the Privacy tab. Under History, click the drop down menu next to "Firefox will:" and select Use custom settings for history.
A number of check boxes will automatically appear. Most of the defaults should be fine, but you want to change the drop down menu next to "Keep until." Change that setting to I close Firefox (i.e. keep cookies until I close Firefox).
As an option at the bottom of the history section, Firefox also lets you clear all your browsing history when you close Firefox, but that is not selected by default. Do so if you'd like.
Once you're done click OK and that's it. 

Internet Explorer

Automatically deleting cookies every time you shut down Internet Explorer isn't as obvious as it is with the other two browsers. To do so, click the gear icon in the upper-right corner and select Internet Options. 
Open the General Tab in the window that appears. Under the Browsing History section, check the box next to "Delete browser history on exit." If you'd like, you can click the Delete button underneath to customize exactly which settings are flushed every time you close IE, though cookies are wiped by default when you enable the "Delete browser history on exit" option.
Then click OK and you're ready to go!