Learn how to drive the “New Zealand way.” First, you'll be driving on the left side of the road. It's a bit disconcerting when you first arrive, but most people adapt to it quickly. The police strictly enforce driving laws, so if someone in your car is not wearing a seat belt, for example, you'll be ticketed.
Plan plenty of time between destinations. New Zealand's roads are well maintained but often narrow and winding. They can also be hazardous when it's raining or the roads are slick from ice and snow. And remember that your car must be equipped with chains during the winter on many South Island roads.
Make sure you have insurance coverage. Most top rental car companies quote rates that include basic coverage for vehicle damage. You would be smart to add supplemental coverage, as it covers much more and is not very expensive. Your insurance coverage from the U.S. will not be valid in New Zealand.
Book the ferry well in advance of your trip to assure your place if you'll be going from the North Island to the South Island. You can take your car onto the ferry for an additional fee, or you can return your car before boarding the ferry and rent another after you arrive at your destination. Your rental car company can assist you with the details.
Visit the information centers in many of cities in New Zealand. They'll steer you to local attractions and more. Also, many have Internet service, restrooms that are clean, and souvenirs indigenous to the local community.