So you are moving to NZ, fine, the houses, as you are now aware, do not generally have cellars, so finding space for a darkroom is a bit of an issue, but not impossible.
You mention that you have a fully equipped professional darkroom, if at all possible, take the really good stuff that you may somehow find a way to use in NZ. I believe you will not regret taking any equipment with you to NZ.
Purchasing darkroom equipment in Australia is not that easy, but it is certainly a lot harder in NZ. I would suggest if it is viable to bring your stuff out from Sweden, do so. When my wife emigrated from her native Germany (almost 30 years ago) she brought most of her furniture, books, clothing, electrical and photographic equipment. Think electrical kitchen stuff, like food mixers, food blenders and anything else.
NZ and Australia, like Sweden, run 230V at 50 Hz frequency, so you should have no issues apart from the actual plug and maybe, just maybe, earthing of some appliances. If you have excess equipment that is able to be brought to NZ, perhaps you could do a bit of a list, post it on APUG, (maybe even this thread) and see if there are any takers for some of your equipment. But seriously, I would really see if you can manage to squeeze things in to what will probably be an interesting living situation.
As for your special process, Mordoncage, well I don’t think finding sources for the chemicals will be that hard.
I did a single search for Copper Chloride in NZ and immediately came up with this.
http://www.crescendo.co.nz/Education/Science/StringSearch.aspx?SearchString=copper chloride&Page=1
Clicking on the middle item, Copper Chloride II 100g, it states, end user certificate: No, approved handler: No, Permit, Not required, Dangerous Goods 8. I may be reading that incorrectly, but I would suggest this is a reasonably easy material to obtain.
The Hydrogen Peroxide, just ask one of the many bottle blondes walking the streets where their favourite beauty parlor is.
Glacial Acetic acid should be able to be obtained, the amounts you may or may need shouldn’t be so huge that it will be a problem.
As for other darkroom chemicals, you could use Vanbar (based in Melbourne) or perhaps somewhere else from around the world. Melbourne is only 3½ hours by aeroplane from Auckland. In the last two weeks I have seen two NZ shopping tours in Melbourne. The shopping tours are where a group, usually travelling around Melbourne in Toyota 12 seater buses visiting factory shopping outlets, or in the case of one tour bus I met, visiting Chadstone shopping centre for purchasing fashion products.
Also about 1 hour drive from Melbourne in Trentham East next march (2017), Elizabeth Opelenik will be doing workshops on Mordoncage.
http://www.elizabethopalenik.com/#mi=1&pt=0&pi=13&p=-1&a=0&at=0
In that workshop students will be mixing the chemicals and doing the process. So it is not that unheard of a practice in these parts of the world. You may wish to email Ellie Young who essentially is Gold Street Studios and ask whether she can supply the chemistry you may find hard to obtain, or where she purchases her chemistry for pointers of what to do.
http://www.goldstreetstudios.com.au/workshops/
All is not lost, think positive. It will be hard and maybe harrowing, but I am sure it will be good if you can keep as much as possible of your equipment. But best of all, you should be able to keep doing what you like doing, which seems to be Mordoncage.
If ever you are in Melbourne, I would like to meet up with you.
Mick.
