I personally would probably put it in storage and then ship it later, as I'd imagine storage to be cheaper in the US, but also, and mainly, because should anything break or go missing during the shipping process,
I believe this would need to be reported within a certain time of its arrival at its destination, which you might not be able to do if you were arranging for it all to go in storage in NZ.
Granted PR based on partnership in Dec 2009
Blue stickers in April 2010
Arrived in Auckland 2nd April 2011