International, public or private schools in Wellington?

My wife, 16 year old and 3 week old daughters and myself are moving to Wellington. I am looking for information on schools in Wellington. I have read the posts and many of the international schools talked about are in Auckland. She is currently in her 10th grade year and wants to go back to university in America when she graduates. I'm trying to decide between international, public or private schools. Any help is greatly appreciated.