There is so much you can do. The key for me was to explore exactly what I was doing while stuttering on my name. So I could slowly change it. Saying my name doesn't feel like talking anymore. It's just a choreography with my speech muscles I did over and over. When you are alone, try to stutter on your name on purpose, as you would with somebody around. Try to feel what you are doing with your vocal cords, tongue, mouth and lips. Also look in a mirror and try to spot where the airflow is blocked and which muscles are tense. The next step would be to practise saying your name with less effort. Stop mid stuttering an slowly relax only the tensed musles. That, over time, will give you a better feeling and a sense of control over your stuttering. Then you can start to prevent the blocking and useless effort. Slide in your feared sounds with just soft movements. This will only work with other people around, if you are ok with your stuttering. If you are not afraid of stutterin but see every occasion of stuttering as a opportunity to practice and learn.