As a recently college grad, I never told anyone I stuttered. Most just figured it out on day one lol. Some professors have everyone introduce themselves in front of the class on day one. That was probably the most anxiety ridden thing for me, and always has been. If you’re not comfortable doing that, then I would definitely tell your upcoming professors of your stutter and I don’t see why they wouldn’t work with you. All in all though, ALL of my professors were understanding and didn’t care at all if I stuttered or not.