How do rockets rotate and pitch at the same time? Thrust vectoring using a gimbal which basically just always faces down, so that shouldn't cause it to pitch. Since the rocket is spinning, using the fins to pitch wouldn't work unless they only activated for a portion of each rotation. Using the fins in such a manner seems like it would be extremely difficult and prone to malfunction.

I'm specifically talking about the rockets we use today. They launch upright, and generally arc before they release their payload.