See here,
https://www.tewhatuora.govt.nz/our-h...ealth-services, where eligibility for health care is set out.
Here
https://www.linz.govt.nz/guidance/ov...-property-live are the rules about owning property.
If you are confident of having good evidence of partnership (see here for old threads with discussion and examples of what other people have used
https://www.google.com/search?client...of+partnership), getting a partner-sponsored work visa, and then partner-sponsored residence, involves much less hassle than going for a work-based visa of whatever kind, as for the latter, you have to prove all your qualifications, work experience, and find a relevant job offer.