Parking is awful at Drexel. Frankly, there's no way around it. University City is extraordinarily busy, considering there are two major universities and numerous professional buildings nearby. Keep in mind, the constant construction going on in urban areas is also a hassle, and its impact on available parking is unpredictable. It's a wonder anyone can park. Avoid bringing a car if you want to forego major headaches: being late, getting expensive parking tickets (you will get one—Philadelphia meter personnel are ruthless and notorious), road rage, throwing hundreds of dollars per month away on parking, etc. There are parking lots available, but they are way too expensive for a student, and space availability is inconsistent.
If in Philadelphia, take advantage of the vast and available public transportation system. Nothing beats its efficiency and economic relief. Walking is very common to urbanites, too. Additionally, biking is quite common if one can maneuver the tricky city streets. Stress will be avoided if the latter options can be utilized. Driving should be avoided at all costs.