Hi Legal, and welcome to the Project Meditation community,
The best place to start is with downloading the free Discover Meditation course on this site. It teaches the principles of meditation (they're not difficult to get into) and guides you through doing it. Then you can get any specific advice by asking questions in this community where there's lots of experienced meditators who can assist.
Certainly meditation could offer benefits that may help with stammering. Also take a look at a technique called Emotional Freedom Techniques (EFT) which you should be able to find free tutorials on the web for. It's a simple technique, which at first seems a little odd, but it works.
Hugs
Giles
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