In addition to the Chinese bank account, you will need an Alipay account. It's kinda like the Chinese paypal system.
Actually, you don't even need that Chinese bank account. If you can find someone to reload your Alipay account, you are good to go. However, shipping is another problem as most of the sellers at Taobao do not ship internationally, so you'll need some one to forward it for you. Qtan did mention that if you can pay him via Alipay, he can offer prices similar to Taobao + whatever shipping that is needed to reach New Zealand.
Good luck in solving those two requirements before you can order and ship anything. They can be solved, I did, but the sources I have only limit the service to my country, so I can't help you there.