We came from the Phoenix area and used Champion International.
http://www.champmove.com
The shipping took about 5 weeks. If you get the name of the vessel, you can track it on marinetraffic.com
The thing is that Champion will subcontract out a company in your area to do the packing (put stuff in boxes) and that took one day. The second day, others who are also subcontracted will put the stuff in a moving truck. Our stuff was then taken to Los Angeles and shipped by sea in a container. When it arrived in Singapore, a crew brought the boxes in and unpacked some of the larger items, such as the bed.
Now, whether you go with this company or another, be sure and watch the packers, especially if they're packing valuable stuff. This can be hard to do if you're the only one home while the packing is going on because there will be more than one packer and they'll be working in different areas of the house. Be sure they're not careless. We had some computer monitors and electronics-related stuff arrive damaged/scratched because one of the people who worked for the subcontractor Champion used was careless and didn't pack well. On the other hand, not a single glass was broken.