Given the lack of response here, I decided to share some of my findings with anyone who's interested.
If you need to make an overseas move,
please please please do yourself a favor and visit newcomer link: http://www.movingscam.com [nonactive]
Go to the "Message Board" and search for keyword "international". This website is put up by someone who was scammed in a very bad way and he decided to create a sort of a watchdog website that black lists bad movers and recommends ones that people have actually had good experience with.
When my family decided to move to London from New Jersey, the first thing I did was contact newcomer link: http://www.intlmovers.com
[nonactive] (it's a sponsored URL on this website, in the Shipping section) which forwarded my information to several movers who subsequently contacted me and provided some quotes. I followed the recommended procedure of having the movers come to my home to survey our belongings and everything. I decided to go with one of the movers but with some sheer luck (and their own incompetence really), I fired them less than three weeks before the big move. The reason was that there was virtually no communication regarding the moving process, liability, and etc. and I never received the documents they said they were emailing me in spite of constant followup on my part.
It was a very difficult decision but I had very little choice. The only thing worse than having no mover three weeks before an overseas move is to have a mover that you cannot trust. Somehow, I stumbled on newcomer link: http://www.movingscam.com
[nonactive] and found this site so helpful that I'm recommending it to everyone I know.
I wish this website would feature newcomer link: http://www.movingscam.com
[nonactive] prominently in the "Moving Issues" and "Shipping" sections.
Good luck!