I had to learn the frappe thing when I moved here, too, and I still mess up and call them shakes all the time.
It took me a year or so to stop saying “pop” when I wanted soda, as well. I had a few skeptical counter guys ask why I want their dad when I asked for pop.
My mom lived in Michigan for quite awhile as a kid. Funnily enough she didn’t use the word much as we were growing up, but every time we went to visit our grandmother there we had to ask for “pop” if we wanted soda.
I don’t know how strictly regional it is. “Jimmies” I’ve only heard out of Boston. Not even the rest of Mass. But “Jimmy Hat” I’ve heard from the Carolinas to Eastern Canada (Anglophone Quebecers specifically).