Buses: Tourist line no. 180 (some of the stops: Powązkowski Cemetery, Monument to the Ghetto Heroes, Old Town, Łazienki, Wilanów). Between 11 p.m. and 5 a.m. night buses operate. An extended tram network. The lines that go to the Old Town and Praga district are: 4 13 23 26 46.
Timetable of buses and trams: http://ztm.waw.pl/index.php?c=126&l=2
Underground: one line from the south to the north of the city, 21 stations. The station closest to the Central train station is METRO CENTRUM; the station closest to the Old Town is METRO RATUSZ ARSENAŁ.
From Mon to Thu and on Sun: the first underground trains from the final stations of Kabaty and Młociny leave at 5 a.m. and the last ones at 00:12 a.m.
On Fri and Sat the last underground trains leave the final stations of Kabaty and Młociny at 2.30 a.m.
Last trains at the Centrum station: Mon-Thu and Sun: 0.32 – direction of Młociny, 0.29 – direction of Kabaty).
Last trains at the Centrum station: Fri-Sat: 2.50 a.m. – direction of Młociny, 3.02 – direction of Kabaty.
The underground timetable: http://www.metro.waw.pl/page.php?id=17 (dzień roboczy - working day, soboty - Saturdays, niedziele i święta - Sundays and holidays).
Adult tickets cost 2.80 pln; there are also 20-minute tickets at 2 pln, 40-minute, daily, weekly and monthly ones; Children have a 50% discount.
Taxi: In Warsaw operate taxis and the so-called "przewóz osób (passenger transport)" and "cabs", which do not have a license for a taxi, but they are usually cheaper. Prices per km are from 1.40 to 2.40 pln during the day. You will find a list of taxi and "cab" companies with the price per kilometer at http://tanietaxi.com.pl/warszawataxi.html