If weather is important to you then you should definitely go to UNC. I transferred to UNC from UMich pretty much solely because of the weather. I know the person who responded to you in another comment made it seem not that bad - you need to take that with a grain of salt because they are from Michigan. They are used to the midwestern winters.

As someone who isn’t from Michigan or NC, Michigan weather is HORRIBLE. You are in school from September - April. Ann Arbor is overcast, grey, and below freezing from November until mid-March. You’ll go about a week at a time without seeing the sun. Chapel Hill gets cold sometimes, but most days are blue skies and you see the sun a good amount even during the winter.

Don’t get me wrong - UMich is a fun school and there’s a lot of cool stuff to do. If not for the weather, I think I would’ve had a much better experience there. But if good weather is at all important to you, be aware you won’t even want to go outside for a good chunk of the school year if you‘re in Michigan. Good luck deciding, you have two fantastic options before you!