One option to save money on a car move is by using your own auto insurance coverage instead of hauler’s coverage. Insurance carried by the transporter should include cargo and liability coverage (with no deductible) that insures your car for its full value. Check with your insurance agent about covering your car during shipment, and whether the transporter's coverage is adequate.
Most of auto movers will provide insurance covering your vehicle. However, you should do some research, since the level of coverage might differ from mover to mover. More information on moving to chicago here.
When choosing an auto mover, ask for a Certificate of Insurance indicating full coverage so you can be sure your vehicle will be insured while in transit. The auto mover should provide insurance against damage or theft and should provide you with a copy of their policies. It is important to have in writing if the carrier's coverage is primary or secondary to your own insurance and to have the deductible options in writing as well. You should also contact your automobile insurance provider and determine what, if any, coverage is included in your existing policy.
All personal items should be removed from your car when using auto moving services unless you are confident your home policy coverage would cover any loss or damage. It is a common practice for a vehicle carrier not to insure the contents of a vehicle other than necessary items such as a spare tire and jack.