There are plenty of options for getting around Christchurch, and can be broken down in to two categories: public transportation and private transportation.

            The options for public transportation are buses and taxis.

            The bus company that services the larger Christchurch area is the Metro. Its website isn't the easiest to navigate but fares, schedules, information about the zones within Christchuch and more are available here

            Taxis are readily available throughout the city of Christchurch, with a number of companies offering services.  Fares are standard across the board.  See NZ Taxi Info for more information.  A few companies operating in the area can be found at Christchurch Taxis.

            The main option for private transportation is renting a car.  There are many rental car agencies around the Christchurch area, some of which can be found near the airport.  Check out Rental Companies for contact information of some of those in the Christchurch area. 

Among the benefits of renting a car is the opportunity to explore the Christchurch area beyond the bus routes.  Akaroa and Hanmer Springs are both great day trips from Christchurch.  Rental Cars New Zealand is an affordable option with an outlet near the airport.