Berlin has a sophisticated public transport system. Buses, subways, urban railways and trams will bring you at almost every time to every place in Berlin.
Deutsche Bahn connects all major cities and most of the smaller cities in Germany. You can buy tickets online, in the train station at the ticket machine, or at the ticket office. If you are in a hurry, can also be able to buy your ticket in long-distance trains from the ticket collector, but this option is more expensive. Please keep in mind: Before using the local trains or the public transport, buy your ticket first and stamp it.
Further information can be found on the website of Deutsche Bahn.
Berlin is a fairly bike-friendly city. There are plenty of options in entire Berlin to rent a bike, e.g. from TU Berlin's Uni-Rad or Fat Tire Bike Rentals.
If you are a newcomer or are not confident riding a bike, the Radfahrschule offers lessons for adult, including in English.
If you are planning to stay for longer in Berlin, it might be worth to buy a bike. Many bike shops also sell used bikes.
If you are traveling with your own car, please note that there is an environmental zone in the central areas of Berlin. In this environmental zone only cars with the respective vehicle sticker are allowed to drive. The environmental zone sticker can be ordered online for cars registered in Berlin or another German registration office, including for foreign vehicles.
Parking spaces can be found in limited numbers around the University. You may need to pay a fee for street parking.