How do i organise visas for a three entry trip.

I am travelling to Beijing in April, then visiting North Korea and returning to Beijing, then touring in China, then going to Mongolia and on return from there transiting through Beijing to Shanghai for three days, before leaving for New Zealand. Can I get a multiple-entry tourist L type? If not can I get a double enrty and a single entry one, 2 in total, at the same time when I apply in Auckland ?

Dennis Johns