Kiwis are seeing the writing on the wall, and and are looking for job opportunities in Australia. They would be advised to retain their homes in NZ, and just go to Australia for work. They have the good fortune of being able to look for jobs from NZ. All you need to do is email a few recruiters with your CV, apply for a few pertinent jobs, display some skills, and then line up some solid interviews before going over there for a week. When you touch down, get some accommodation, i.e. a room in a Sydney backpacker in the inner city area, and seek work from newspaper adverts, as well as the websites. You will then know if you have a chance. Return to NZ, and you will find many recruiters or employers will fly you over for an appointment if you make it to the interview stage.
Get the job - set up in an apartment - and save for your eventual retirement in NZ. If you like Australia, you can always sell your house later when the NZD-AUD is more favourable. There might be a chance of that in the next few years, but its looking rather dim.
The writing on the wall is that Australia is the land of opportunity at the moment, but NZ will eventually catch up! Another 10 years, and it will strike oil.