,how can I get rid of these icons and not lose Firefox?

When you download it, make sure you are downloading through the official site (Firefox web browser | Faster, more secure, & customizable (http://www.firefox.com)). Also, make sure to install it to the default path and not to your desktop.

What operating system are you running? Please be specific. Is it Windows 7 64-bit? Windows 7 32-bit? Or are you running Mac OSX?