New Zealand → Australia
New Zealand plugs
Type IAustralia plugs
Type IShared plug type: I
Compatibility: Compatible
Voltage — New Zealand 230V — Australia 230V
Voltage is the same. Your devices should work normally.
Device compatibility (phones)
Phones almost always support 100–240V, so yours should work safely. Check your charger label to confirm.
You likely only need a plug adapter (if socket shapes differ). Voltage is close between these countries.