Shipping containers are designed to be filled and moved around the globe. As Douglas says, there are many, many companies for whom this is 'bread and butter'.
Containers will have a maximum gross (loaded) weight that you
should bear in mind and not exceed if you want to move it. It's often painted on the doors alongside the tare (empty) weight. Google suggests that it is almost 25,000 lbs for a 10ft container and 67,200 for a 40ft one.
Access for a large vehicle with a crane is also a consideration. An empty container will be much lighter, to state the obvious, and you will be able to deliver it over softer ground or with the crane extended much further from the vehicle.