Although I stutter, I've developed my public speaking skills through membership in Toastmasters. Toastmasters gives out lots of ribbons and prizes and titles, so be sure to mention if you are a Certified Toast Master or that you won a blue ribbon for best speech. When making presentations, I can't say as much as fluent persons, so I prepare my remarks in advance and get right to the main points, unlike some people who ramble on for half an hour. In my last job, I pretty much said the same things to customers all day, and my speech was fine. This should be acceptable for retail jobs, etc.
Communication is a two-way street.
Say that you may not speak as well as other people, but you listen more carefully, such as not interrupting people before they finish. Say that stutterers work extra hard at non-verbal tasks. This can mean working extra hours, or being conscientious about quality. The interview for the job that I currently have was one of the few interviews in which I discussed in depth the nature of my stuttering problem. I spent about a half hour discussing my speech, and I think that it was very helpful for the interviewer in understanding how well I could work around my handicap.