From Schönefeld Airport:
Take one of the following trains to Alexander Platz: Airport Express, RE4, RE5, S9 or S45. From there, change to the metro line U2 (red line) with direction Pankow and get off at the third stop, named Eberswalderstrasse. The station is situated on Schönhauser Alle. From there, walk down Kastanie Alle and after 3-400 meters you'll cross Oderbergerstrasse.
The journey takes about 45 mins.

From Tegel Airport:
From the airport, get the bus 128 to the end station of Osloer Strasse (23 mins). From there take the metro line U8 (blu line) with direction Hermannstrasse (southbound). Get off at Bernnauerstrasse and from there walk up Bernuaerstrasse in west direction. After 500 m you'll cross Oderbergerstrasse.
Alternatively, get the TXL bus from the airport to Alexanderplatz (33 mins). From there, change to the metro line U2 (red line) with direction Pankow and get off at the third stop, named Eberswalderstrasse. The station is situated on Schönhauser Alle. From there, walk down Kastanie Alle and after 3-400 meters you'll cross Oderbergerstrasse. 
The journey takes about 45 mins.

Read more here.

Berlin has a comprehensive public transportation net.

Busses, streetcars and metro will take you everywhere in the city at a moderate cost.

You can check ticket types, timetables and prices here.

Renting a bike is also a wonderful way of experiencing the city in the good season.