To specifically answer your last paragraph of should you introduce yourself as a stutterer — yes, I did for a couple years and it helped me a lot. If a gender-nonbinary person wants to be addressed not as he or she but “they”, they say this upfront and are clear about their pronouns. They state this upfront to avoid an awkwardness in how to appropriately talk to them. Likewise, when my stutter was really heightened to point of not being able to complete a sentence without serious show-stopping blocks, to avoid any more awkwardness than necessary, I would open a conversation with “I have a stutter, I know what I want to say, please be patient with me while I say it.” Not once was that ill-received. Every time i opened with that it made me more relaxed as I knew the person I was speaking to knew what was going on and not trying to figure out if I was seizuring or something in the middle of every sentence. I stopped saying it as I grew more confident speaking to others with greater fluency, but I attribute that confidence and fluency partially to having more successful conversations through my initial disclaimer. (Also regular meditation, low stress, good diet, plenty of sleep, and staying away from drama!)