Trust me, leaving traffing jams behind you with a trollface under your helmet is possibly the best feeling you can ever get while driving in a city.
For the money part, well... Bikes usually drink less gas, pay less insurance, and cost less than a car. But having both a car and a bike can be a bit of a challenge for your money, it's a choice you have to make: keep your car, spend a bit more of it and be more protected (crashes, weather etc.) and more comfy, or sell the car, get a bike gaining freedom but losing your comfort?
Motorcycling is a bitch in winter... :sigh:
See, I'd definitely need to have both because I frequently have to carry stuff or people in my car. A bike would just be great for going to uni and back.