I did a few job interviews I didn't get and stuttered heavily on (maybe they did have better qualified people or maybe they saw my fear and wanted to spare me, who knows, one leadership one I really was afraid of even though I was mad they didn't go with me) but then the third one I got. My friend worked there and my grades were better than his, lol.  It was much more laid back, it was for a program engineer but coding really but I was beginning to not be as scared by the third one.  The more I did, the easier it felt on me basically.   Before those, I did an internship the year before.  Though I stuttered, I had a nice suit, nice red tie, and the guy liked me and helped me with my resume.  Did the phone interview, stuttered even harder on it but they got me.  So just because some refuse doesn't mean you need to give up.  It just means your story is not over yet.   Interestingly, after that internship, one of the person that helped me, including telling me not to worry about my stutter, that I don't need to even mention it beforehand like I always did with everyone he introduced me to because he said it's not the 18th century and no one will really mind and they'll understand either way (that actually helped me stop mentioning it as I felt it was becoming a crutch to lean on to calm myself but I think not mentioning it can work out for the better sometimes as it feels more admirable), that person called me sometime after my internship to let me know a leadership track opened up and he really tried hard to convince me to go for it and thought I would be great.  I didn't end up doing it, big part from fear and shyness at the thought of public speaking but ironically decades later I am in sales now wishing and realizing I could have started earlier but greatful how things worked out either way.   So basically, I don't think you need to reveal your stutter early because your courage can speak volumes going into it either way.  I would recommend to not think about what you will say or how and rather how good you feel about yourself, your kindness, and how you can handle this job.  Maybe past experiences or just knowing the answers you'll need for the job, etc.