BOLOGNA AIRPORT (BLQ)
The easiest way from Bologna Airport to downtown Bologna is by bus (Aerobus). Aerobus is a shuttle service run by TPER, Bologna's local transport company, connecting Bologna Airport with the city center and the railway station. It runs every 11 minutes every day of the year. The journey takes less than half an hour.
Please see here for bus timetable and airport map.
BOLOGNA CENTRAL STATION
You can arrive at Bologna Central Station, thanks to high-speed trains, in half an hour from Florence, an hour from Milan, in an hour and a half from Venice, in 2 ½ hours from Rome, in 3 ½ hours from Naples, and in 5 hours and 45 minutes from Bari.
Please see here for trains timetable and tickets.