I have used U-Pack with good results. They drop of one or more containers at your old place, You fill them up. They transport them to your new place. You unpack them. If anything breaks that is your problem. Since you put your locks on the containers, nothing gets stolen. And they cannot keep your goods hostage demanding more money.

As well, if you do not have a new place ready when you get there, they will store the containers for a reasonable monthly fee.

I do not work for them but had a satisfactory move with them from Los Angeles to Vancouver BC.