The cruise ships birth at Princess Wharf, Shed 10 at Auckland Harbour. You will be at the heart of the city and there are bars, hotels, restaurants and food stalls in the vicinity. There is also a hotel right on the terminal. The area is quite pleasant for just walking and watching the ships arrive and depart. It’s a 5 minutes’ walk to the nearest bus stop and the nearest train station is 10 minutes walking. Auckland international airport is 30 minutes away by car. It’s also very easy to get a taxi from the terminal.
Some ships also dock at Queens Wharf, right next to Princess Wharf. The bus stop is right outside the terminal and the train station is only 5 minutes walking. The Airport is the same distance as Princess Wharf.