Are you already in New Zealand or are arriving soon? If you like working with children, why not be an au pair? We have city families, farming families, single parent families, families with 1-3 children, 3 families with 4-5 children (but they are all at school or kindergarten except for 1 child).
You have your own bedroom (sometimes with your own bathroom) and in 99% of the time, you have access to a car to explore your region in your spare time. Plus you are often not far away from a movie location.
The more flexible you are regarding the number of children, the age of children and the location of the family, the better.
You will earn 150 NZD for 20-25h/week, 180 NZD for 26-30h/week, 210 NZD for 31-35/h/week and 240 NZD for 36-40h/week.