It's quite normal to have your name be your #1 stuttering word. Most people report that the sound of their stutter is only a small component of the experience, and the dread and worry in anticipation of speaking is the greater pain. There's no single solution that works universally, and most tricks to get around a single moment of stuttering are only temporary patches. But stuttering on your name is a characteristic of stuttering and of the emotions of that moment, not a characteristic of you yourself. Most people are less affected by hearing someone stutter than the person stuttering thinks they are, especially when they are open and relaxed and just let the stutter happen, reset, and continue past.