The pros and cons of moving to Australia from New Zealand are many and varied. While wages are usually higher, NZ citizens do not receive any government assistance apart from Medicare. This has implications for schooling, University study, health care, unemployment and retirement. The compulsery super scheme is a lot better than the Kiwisaver scheme, but does this balance out many of the negatives?
I would suggest caution, and doing a lot of research online before you make the jump. Personally I would not risk coming over here unless you have a guaranteed job to walk into. Just turning up and then looking for a job is very risky. If you have a skill, trade, professional qualification, things may be a little easier.
Good luck, but take care and read many of these articles to get some more background on the risk/benefits of migration.