Embrace the feeling of fear. Don't worry about eliminating it. When you are trying to get rid of it, you are giving energy to the feeling.
Fear is normal and natural when you are doing something you are not accustomed to doing. Work on being ok with the physical sensations of fear and just keep going. The more you speak in front of your boss and customers, the more natural it will become and the more the fear will subside.
Watch this video by Michael Duckett
YouTube - Secret to Overcoming Fear
Hope that helps
Justin