You can test and practise with moving hands, feet - Im not a expert but read somewhere that people who stutter, while talking are less expressing it by non verbal, like moving hands, fingers not sure if its true, but maybe give a try, maybe it will reduce stuttering. Also try saying your name on exhale, someone in comment suggest try to change introducing line, like My name is John, to John, my name is John, or try slowing down first letter like Jooooohn, or pretend you are singing. Dunno, stuttering sucks.