Yes I've talked to the teacher council and the NZQA and they have both said, my high school qualification will help me land a high school job because of the course but I am still considered a primary/junior teacher for assessment purposes. But they said it's no problem to teach high school with a primary degree because once you are a recognized teacher you are free to go where you want.
This whole process is so overwhelming. I think the best thing to do for now is get my visitors visa and do my whole NZQA thing in October, hopefully I get it back before I leave in Feb. Then once I am in NZ, I will contact teacher recruiting agencies and get them to help me with the whole process, find a job slowly even if it's just supply work, and then apply for a work permit.
My kids will be so young that the cost of childcare and what I'd earn as a first year teacher would be the same probably. But I would like to get a work permit once at least one of them is eligible for early childhood education or kindergarten or some type of subsidized care.