Shuttle bus from Bari to Bari (city)
Some cruise lines provide a shuttle bus (whether or not complimentary) to the city center. There is also a free shuttle bus running around the port area, but it goes to the west of the city, away from the center. So that's not a good option. There's also a public bus, n°20 stopping by the cruise terminal with a connection to the centrally located train station in Bari.