The best way to get around town in Munich as a tourist is with public transport. Subway, suburban trains, streetcars and buses can be found virtually anywhere (especially around the Munich Lindy Exchange venues) and run from 5 am until 1 am, some even 24 hours a day. The best ticket to buy for the Munich Lindy exchange is a three-day-inner-city pass which is enough to get you around town. For a trip to and from the airport, you should buy a one-way-ticket. For more information, you can also check the Munich public transport authority’s website at http://www.mvv-muenchen.de.
Also, here is a map for the Munich public transport to download as PDF: