Moving household appliances is a big job. Before you start, be sure you are aware of the work involved, there are steps you will need to take before the movers arrive at your home. Keep in mind some moving companies and helpers will not be responsible for disconnection of appliances.
If you are hiring local movers you need to check if your state requires a license from moving companies, and if yes then verify that company has one. To find this information you should call or visit DOT's website.
Can local movers provide furniture disassembly and assembly service for you? Yes, they can. But the real question is whether you want them to.
Who regulates local moving companies? Every state has its own regulators and requirements. Check out this table to find a regulating agency in your state and their contact information.
Moving Company Regulators
Mobile moving containers are a great way to store your household and business items. If you decide to go this route, here is a guide to packing and loading a container.
How to Pack a Container