Not from NZ, but Sydney - which is not far away...and it was only 25% more expensive to air-freight door-to-door - and that meant our stuff arrived basically when we did...worth looking at...my MIL dealt with the removalists three days after we left, and our stuff arrived 5 days later including a weekend...

The hardest thing was to actually pin down what we wanted to take - and then - we moved 7.5 cubic metres for $7000AUD, and that was top-dollar, with three kids and a husband who needed to be ready to work within 10 days of arriving in a new country where we didn't know the language - our priority was having our household 'functional' in the minimum of time - regardless of cost...

I don't regret bringing anything, though, because we gave away and threw out everything we left behind except for three boxes of childhood treasures, and our whole 'life' was relocated...

The second-hand trade is alive and well in Switzerland, there was nothing furniture-wise that we really needed...

Ball-park figure that I worked out was $200 per 20kg box to air-freight (Australia Post) - Sea maybe $120-$150 per box ? - Excess baggage would fall somewhere between the two prices - and really varies depending on the airline - some do it per kg and some 'per suitcase'...sea freight is by the cubic metre, not weight...

Hope that helps a bit. I know it was an *enormous* chore when we had to do it...not something we plan to repeat any time soon...