We are moving from Vermont, USA to Wellington, NZ in July.
RSS LLC (http://www.rssllc.net/) was outstanding for us, and several thousand dollars less than other companies we talked to. Unlike most of them, these guys don't tell you that it's "the law" that they have to pack everything for you. They let you do it yourself, and you save a ton of money.
They spent 8 hours at our house wrapping furniture and loading stuff into the container. Our moving guys were amazing, but keep in mind, they subcontract this out, so it will be whoever your local moving company is. The container will leave Boston on June 6 and arrive in Wellington on August 15.
The invoice from RSS was $7K. They allowed us to forego their own destination services in NZ, which would have cost $1,300, and use a local NZ company instead. They facilitated all the communication. The cost for the NZ company is $900 NZD -- effectively saving us about $500 USD.
The move isn't finished yet, but so far we've been really happy with them.