I've had a lot of problems saying my name to people in my past. Jesus sometimes it was just horrible, specially in highschool. I've overcame that by using this one technique that I have been using which has almost never failed me is saying "My name is _____." It helps transition into your name smoothly. Also stay relaxed when speaking it really helps. So far 2 years into university and I haven't stuttered saying my name ever. Also stay confident, you're going to mess up a few times but it will come to you. Also if you stutter pronouncing specific words, try to say them in a sentence. For example "I work at Apple." Rather than just forcing out "Apple". This is just how I overcame my name problem and specific words I have trouble pronouncing.