Singapore or KL. I hate US immigration.
Most people either take a short term furnished rental or camp for a few weeks till their container arrives. We did it in winter and it was miserable. In summer it would be much easier! We bought a bed that was delivered the day we moved in and it is the most comfortable bed I've ever had! I think we got it from a shop called Bedpost. Check for sales and always negotiate.
Don't write off Remuera- it's a really big area. I also recommend the Eastern Bays :-)
Bring lots of UK>NZ plug converters. You can't get them here. Or if you can they are $15 each.
Our internet is okay but very expensive.
Bring gadgets. Lots of gadgets. And shoes.
And congrats!