If the price seems too good to be true, it probably is.
As consumers we've been conditioned to look for the lowest price. However, when it comes to choosing a mover, the lowest price may not be the best price. Movers are competitive, and their prices will differ, but since all movers use the same basic tariff , the final charges will be almost identical regardless of who you choose. If a mover comes in with an estimate that is much less than the others, that should send up a red flag and there is probably good reason to avoid that mover
Interstate moves are charged based on the weight of the shipment and the miles between the origin address and the destination. Additional services such as packing, crating, shuttles, pianos, to name a few, will increase the charges.

The chart below shows examples of typical pricing based on move size and distance.

 AVERAGE COST OF MOVING INCLUDING PACKING

These estimated moving cost are not precise, depending upon time of year you move,  and actual weight (of household goods being moved), and any additional services required  these moving costs could be lower or higher than the cost shown. If you intend on doing all or most of your packing you could reduce the cost on average $500 to $1200. However, remember that movers are not responsible for items you've packed and if something you've pack should break it most likely won't be covered by valuation.

You best approach is to get at least three in-home written estimates from licensed movers. If a mover gives you an estimate which is significantly below the others, don't use them! Not only is it likely you've gotten a low ball estimate and will be required to pay a greater price anyway, but the quality of the moving services may be unsatisfactory. .

How to Avoid Pitfalls - And The Criminals Posing as Movers

By now you've probably seen news stories about  scam movers who have abused customers across the U.S. These are criminals who pretend to be movers, but usually have no license or authority. They offer an estimate much lower than legitimate movers to get your business. Then, when they arrive at your new home, they significantly boost the price and refuse to unload your things unless you pay the new, much higher price, usually demanded in cash.

This is against the law. The bad news is, most local law enforcement agencies will not intervene in these cases because they believe they involve private, contractual disputes. Federal officials responsible for enforcing these laws will take your complaint, and eventually investigate and will try to help you get your possessions back, but it is a long and difficult process.

The best way to protect yourself from these scam movers is don't get involved with them in the first place. 

The website looks very professional, but you've never heard of the recommended movers.
 Use caution when choosing movers from the Internet. Many sites advertise movers without checking their credentials. Companies who transport household goods within the state of CT are licensed and regulated by the Department of Transportation.  Interstate moving companies that move goods between states are licensed and regulated by the Federal Highway Administration’s Office of Motor Carriers. The licensing requirements and regulations implemented by these agencies provide numerous protections for consumers. Always choose a licensed and insured mover. Learn more.