If your moving costs are paid for, then you’re getting your furniture here free, so if you like your furniture and you weren’t already wanting to replace it, I don’t know why you would take the loss of selling there and buying new here.
Note that there is a very active market in used appliances in NZ. Numerous shops that sell good used stuff. And check out Trade Me to get an idea of prices. Much cheaper than new.
I recently got three quotes for moving from NZ to the US. Crowne was 50% more expensive than the other two. But that’s not comparable to your situation. If you are happy with what you are paying, then go with it. With any mover, check the fine print of their insurance carefully.
Good luck and safe travels.