To piggy back on your last statement, I’d definitely agree with stating you have a stutter. How it’s always been for me is the interviewer/s will say who they are and then start with a question for me. The first thing I’ll do is say something like ‘before I start. I do have a stutter. I’ve had it all my life, and have never let it effect my work.’ To me it always let them know that you obviously can work through difficult situations and don’t let things get in the way of your work.