If you live in the city, you might be able to take the metro, but if you live in the suburbs, buses aren't really any option. My recommendation is to schedule classes that start after the morning rush hour and before the evening rush hour to ease your commute. Parking has always been an issue and despite some additional parking options, on campus parking may still be tough. So, make sure to leave yourself plenty of time for the trek to classes.
Traffic around the University of Cincinnati has always been difficult, and there have always been parking problems; but Cincinnati Metro has a supplemental fare program for students that's been easing those problems.