In order to play our US DVDs in NZ, we'll need both a region-free DVD player AND a multi-system TV, right?

Assuming that's true, am I better off buying a multi-system TV here in the US and having it shipped with all my other goods? I keep hearing everyone say how much more expensive most products are in New Zealand. If that applies to TVs, it seems like it might make more sense to buy it here.

Are the TVs sold in NZ multi-system (I've heard that almost all the DVD players are region free so I was wondering if that was also true of the TVs)?

Any info/advice is appreciated.