New Zealand is not the place, at least not the south island. The weather is very unstable and it's pretty famous for its poor quality rock. There is some sport climbing which is OK and great bouldering, but otherwise nothing of note for rock climbers. There is supposedly great alpine rock in the Darrans, but the weather there is the worst of any place in New Zealand. I recently climbed the alpine peak Malte Brun, which is supposedly some of the best alpine rock in New Zealand. It was a great route, but it seems that even the worst rock in Chamonix is better than the best rock in NZ...lol.
Definitely, Arapiles in Australia is the place for multi-pitch easy and moderate trad climbing, although it will be pretty hot there around Christmas. You may also want to consider El Portero Chico in Mexico...very long bolted routes of every difficulty. I don't know anything about rock climbing in Chile, but apparently there is some good stuff in Argentina.