From the airport you can take a train, a bus, a taxi (also a shared one). The train or the bus ticket is about 6.50, a shared taxi is about 8 (it will take you to the same stops as bus, no choice), a taxi to the Department is 50 euros. You can buy a train ticket at the ticket machine before the platform. You can buy a bus ticket on board.
The Department is located in Via Archirafi 34. The bus stop from/to the airport is the last/first stop, that is, “Palermo Stazione Centrale”, which is 6 minutes far (450m) from the Department.
The B&B Hotel is located in the very heart of the city, Via Vittorio Emanuele 291. The bus stop from/to the airport is “via Roma/Rinascente”, which is 6 minutes far (450m).
From the railway station you can either walk to the Department (700 m, 8′) or to the hotel (950 m, 13′)
From the harbour you can either walk to the Department or to the hotel (about 2 km, 30′), or take a taxi for about 12 euros.