We shipped a small container (half size?) about eight years ago. We used Pickfords, they were brilliant and well worth the money. I would choose to put different things in my container had I known then what I know now e.g. Patio, rattan, type furniture is half the price from Argos than anything you can buy here.
The Pickfords service packed up for us, took everything through customs delivered to the house and unpacked at this end. We took out their insurance which seemed expensive but we had to make a claim (C.Ds went missing, presumably at Customs) there was no hassle at all and a very speedy pay out.
If the stuff is important enough to move go for a quality service rather than the cheapest.