The search box in Firefox is redundant because you can perform searches right from the location bar, otherwise known as the awesome bar. Removing the search box not only makes your toolbar look cleaner, but you can start your searches faster by using the CTRL-L shortcut to instantly move your cursor to the awesome bar. Here's how to remove the search box from your Firefox toolbar:
Step 1: Right-click on the toolbar to bring up the toolbar menu and select Customize.
Step 2: Drag the search box from the toolbar over to the "Customize Toolbar" box.
Step 3: Once you see the search box appear in the "Customize Toolbox" box, click the Done button.That's it. Now the search box in your Firefox toolbar is gone and you can perform your Web searches from the awesome bar instantly by using CTRL-L. If you prefer Bing or Yahoo search engines over Google, you can .