I’ve brought Ziploc bags for some spices (double-bagging can help for durability), and have also just bought some at my destination. Bring a few empty Ziplocs, quart and gallon, even if you don’t bring any that contain ingredients from hone.
A decent, sharp knife is usually hard to find at an Airbnb, VRBO, etc. short-term rental, and a dull, slip-prone knife is actually dangerous. I’ve bought a single knife (bigger than the smallest paring knife, but not a full, pricey chef’s knife) more than once at a destination, and then sometimes brought it home, but never carried one from home to my destination.
Kitchens have varied from having absolutely nothing in it, to having some basics (salt, pepper, olive or cooking oil, a few random spices, maybe some pasta or rice), to having more starter ingredients (a loaf of bread, a few eggs, some milk, veggies, even a bottle of water and/or wine provided by the owner). Be prepared to shop at the local grocery store (or farmers market in New Zealand?), but there’s the potential issue of buying ingredients in packages bigger than you’ll be able to use, and so, stocking the pantry for the next people. You may just have to wait until you arrive, and see what there is to work with, how big the fridge-freezer is, and what food you want to prepare.
Pots, pans, and other kitchen implements have also varied from cheap and overly-used to new and/or high-quality. Presence and quality of spatulas and other utensils has been hit-and-miss. I’m used to gas or old-style electric ranges, but on our trips this year to Ireland, Denmark, and Norway, induction heat seems to be the rage. Every induction cooktop seems to operate differently, and figuring out how to “unlock” it and set the digital temperatures has taken some problem-solving.
European cling wrap seems to be much thinner, more prone to tearing, and also more likely to get stuck together in a wad than what we’ve got in the USA, Not sure what’s available in New Zealand. Operating in a new-to-me kitchen in Europe or South Africa has sometimes involved some adjustments, and sometimes revealed unexpected pleasant surprises.
Having a dishwasher while on vacation is a real plus.