From the airport: it takes only a few minutes to reach the center by bus (LAM ROSSA).
You can purchase bus tickets from the information desk in the arrivals hall. The bus runs to central station and Piazza dei Miracoli. Since the ticket machine at the bus stop only "speaks" Italian, it's better to get the tickets
from the information desk if you don't speak the language. The bus terminal is directly in front of the airport, on the right side when coming out of the terminal building.
From the railway station: it takes only few minutes to reach Piazza dei Miracoli (and the B&B) by bus (LAM ROSSA).
It is even possible to walk to the B&B, which takes around 25 minutes.
Taxi cab: if you prefer a more convenient method of travel, a taxi to the B&B will cost around 10 € (8Km from the airport, 3Km from the railway station).