Poland is not a bicycle-friendly country at all, and Warsaw is no exception
There are bicycle lanes in Warsaw, along the line of Stary Bielany,Stary Zoliborz, Muranow, Nowy/Stary Miasto, Powiśle, Dolny Mokotow, Sadyba, Stary/Nowy Wilanow and Powsin. These areas have bike lanes that just about connect to one and other, if you go through the odd park.