I too had a very good experience with UPak, and Alison was fantastic. Always easy to get hold of and answered every question and concern. I was only shipping a max size volume of 100 cubic feet of boxes, not a whole household's worth of goods, so you will be getting a different quote package I would say, but mine seemed a very generous volume allowance for a set price that was cheaper yet if I did my own drop-off. At the UK end they brought it straight to my living accomodations with fast and courteous service, after it cleared the port procedures very quickly.
As the name says, you pack your own stuff, so breakages are down to your own prowess in taking care you pack and pad well (try E-Bay's Sellers forum board for great tips on how to pack so that even a good drop-kick cannot break a vase, hahhah!), but I found only one broken pane of glass in an (empty) picture frame, and everything else was great.