The only advice I can have on this, given that introductions are stupid hard, is to tell them you have a stutter as some part of your introduction. Not literally the first thing, but mention it. You'll feel more relaxed because you're eliminating the weird stares and confusion, plus the person you're meeting will learn right away to be a bit more patient with you. Don't say "I'm ____ and I have a stutter" as if it's your identity, but just throw in some variation of: "if you hear me have some trouble speaking it's because I stutter". Something like that gets the point across. Most people genuinely do not care tbh, or they find it interesting.