Hi Mark, I'm a northern chap with a training background. Most employment-related training in NZ (vocational and management sides) revolves around NZQA Unit Standards. (see
National Qualifications Framework - National recognition for your skills and qualifications [ NZQA ]. These are competency based and are very similar to the stuff offered in the UK by the Institute of Leadership and Management (aka City & Guilds).
If you can drive your way around the Unit Standards, you'll be fine. Like most of these things, some of them are good, but a lot of them are shocking to work with. In my experience, students have to spend more time recording their evidence to prove their competence than they do actually learning or developing the knowledge or skills in question!
If you want to stay with the training role in NZ, you could check out the local government websites and polytechnics, as well as the private training providers such as NZIM. Most of them like to keep a steady supply of tutors on their books....
Hope that helps.