In Leipzig it is easy to get around by bus, tram or train. Further information, such as time tables or travel planers, can be found on the official website of the Leipziger Verkehrsbetriebehttps  www.l.de/en/mobility/ Your  Student-ID function as an MDV-Tickt (further Information here https://www.mdv.de/mdv-local-public-transport-in-central-germany/). You can travel for free in all trams and busses in Leipzig and even take  your kids or your bike with you (only  between 7:30 p.m. to 6:00 a.m and sundays –  granted there is space available). With the ticket you can also use the  trains to visit Halle, Naumburg and of cause the airport Halle/Leipzig as well as many more. Just have a look at the link.