Uber and Ola operate in Christchurch. You can book a ride through the Uber or Ola app on your mobile. These can be downloaded through Google Play (on Android phones) or the App Store (on iPhone).
You can take a bus from the Christchurch Airport into the City Centre. Bus line 29 goes from the Airport directly to the conference venue at the Rydges Latimer. For detailed information about all bus lines that leave Christchurch airport see https://www.christchurchairport.co.nz/en/parking-and-transport/public-transport/buses/
By Taxi or Shuttle:
There are a variety of different taxis and shuttles which can be taken at Christchurch Airport. For detailed information see https://www.christchurchairport.co.nz/en/parking-and-transport/public-transport/
Hiring a car:
You can rent a car from any of the major car rental companies that operate at Christchurch Airport. For a full list see https://www.christchurchairport.co.nz/en/parking-and-transport/rental-cars/