Basically, if you want to be able to see the different prices and compare the rates then you should take the time to gather shipping quotations from different companies. This is an essential tool that would be able to give you an idea of what really influences the cost that is provided by these companies.
What are the options you have in your services? The company must be quick to give you further options in terms of methods in transport, delivery, payment and so much more. Your car may have the requirement of an enclosed transport method without you knowing it, so ask the company of any viable options they may give you in their services.