@fgs is mostly correct... dagdagan ko lang, the NZ resident visa given to an Aus PR expires each time you leave NZ so if you need a visa label, you can apply for a variation of conditions para magkavisa label ka (at para hindi mag-expire ang RV each time you leave NZ)
@jepot what do you mean na reset lahat? If you're only coming to NZ now, then basically you're a new NZ resident then back to zero ka when waiting to be eligible for a new citizenship.
Any reason why you wouldn't want to stay in Aus and become an Aus citizen first before moving?