I thought I would chime in here...I don't currently live in Ohio, but I grew up there, and I spent 4 years at Ohio State. I hope this input helps:
1. Snow chains? You Californians crack me up! The only things you need to know about driving in snow is to make sure you COMPLETELY clear your windshield of snow, ice, and condensation; leave a few car-lengths between you and the next car; if you start to spin out, don't panic--turn the steering wheel in the direction your are sliding (it sounds counter-intuitive, but trust me, it works).
2. Watch your speed in Ohio--they love to give tickets, especially to folks with out-of-state plates. So be careful your first few weeks until you get the plates switched over.
3. Most of Ohio has an emissions requirement test called "E-check." However, Franklin County does not have this requirement (Franklin County is where the Columbus--the capital--is located; is this a coincidence that the state representatives also live there? I don't think so.) You will need to go to the license bureau to change your plates. If you have trouble finding one, send me a message. I can give you directions.
4. Columbus has lots of great restaurants, so you should never be wanting for food. In fact, Columbus is one of the most obese cities in the US. It shouldn't take you long to pack on some "insulation."
Enjoy OSU! Go Buckeyes!