I don't know if this will help anyone else, but here is what we did:
When I first moved to the UK we didn't bring anything "large" like furniture. We brought books and pans and pictures and clothes and
more books and.... well, you get the idea. It was WAY more than we could have brought on the plane. We looked into hiring a moving company and we were looking at about $2000.
What we decided to do instead, is we packed up the non-essentials into extra suitcases we had. We brought with us the necessaries -- like clothes and computers.
Then we would PAY for a friend's plane ticket to come visit us. For instance -- I would pay for my friend Anna's ticket (say, $400) then she and her husband only had to pay for his ticket. The only requirement is they had to go to my parents house and bring over at least one of the suitcases! We got all out crap moved AND got to see some great friends along the way. The only catch is that the stuff that they bring has to be stuff you want, but don't NEED -- cause if you think about it, you're not going to have friends over till you have and you're in an apartment and settled... so it could be a while.
Hope that helps someone else!!
Good luck with your move,
Lisa