Moving co. recommendations for Ontario to US?

Hello all. Dh's company is planning to transfer him to their HQ in MO on an L1A visa that's in the works. We plan to go once we sell our house here (so, a few months--hopefully). Does anyone have any recommendations for a good moving company to use for our household contents? Also, would anyone who has done this be willing to share the approximate cost of moving about a 3-bdrm home's worth of furniture/personal effects? Thank-you.

I can attest that Nippon Express is a fantastic moving company. The are japanese and just like everything else the service is top notch. they are full service so they help you with the customs process too. When they move your stuff they come to your house and put on shoe covers! They cost a little more but this is definitely the best movers I have experienced!

This very helpful. Does anyone else have a moving company they would recommend? I need to get 3 quotes and give them to my employer. I will be moving from Ontario to New Jersey.

Thanks!