From the airport, take bus number 2, and get off at Autobussijaam (Tallinn Central Bus Station). There change for bus number 17 or 17A and get off on Koidu stop.
By public transportation
The closest bus stop is called Koidu. It is about 400 m from Pilve Street. Cross Endla street, walk along Koidu street, turn right to Komeedi street and then right to Pilve street.