We manage our own properties in Christchurch, generally theres very little work to do.
We also run 'open homes' to show tenants through, we do credit checks, reference checks, and social media checks, a lot of it is on getting the right feel for the tenant as well, we had a young family lined up last time who seemed perfect, one of the credit checks came through with a blemish but would still have been ok, but after a few phone calls we just had a bad feeling. Ended up getting the perfect tenant the next week by readvertising.
Make sure you have rental insurance, not home owners insurance. Make sure you do 3 monthly property inspections to keep the insurance company happy. They still advise meth testing between tenants, and getting a baseline before they move in (even with the recent reports, they still want you to test)