There's a ton of things to do around Auckland - I lived there for 25+ years.. are you interested in water? - beaches, sailing, swimming? hiking?

Rotorua is traditional tourist stop - geysers, hotpools and lakes.

Also can depend upon the weather - very temperate climate as Auckland is surrounded by the sea on all sides.

Re: accom. in Akld, Quay West is the best serviced apartments - high-rise close to the waterfront action downtown. Else the Metropolis is slightly newer high-rise - also some good low-rises near the waterfront 'Viaduct Basin' - Siebel Suites I think...

give me some feedback on these thoughts and I'll give a more detailed response...

enjoy!