I hold a New Zealand passport but live in the USA with a green card. How do I get a visa for China.

You need to first prepare the following documents:
1) Passport – You should submit your original passport that is valid for at least another 6 months with at least one blank visa page and a photocopy of the passport's information/photo page.
2) Visa Application Form –V2011A and V2011B
3) Photo – berecent, front view, in 48mm x33mm size without head covering.
4) Proof of U.S. Residency Status