If you are after a free hotel shuttle bus to pick you up at the airport, this type of service is not available as the hotel is too far from the airport.
There is also no point in paying for a private driver arranged by the hotel unless you have a special occasion and they could probably make these arrangements for you for $$$$ ...
There are plenty of clean taxis waiting for you at Auckland airport and this may be the best option. Please note they charge different rates depending on the taxi company. I usually use Auckland Co-op Taxis.
Would be between $1,000 and $1,200 nz dollars for a room just go to their website and book online. You would be best getting a shuttle bus (about 15 to 20 nz dollars each)directly from the airport to the quadrant. Very easy and readily available would leave within 10 minutes of you going out of the departure gate and no real queues. its less than a 5 minute walk from exiting customs.