Complaint Review: Full House Movers

 We hired a moving company to move the furniture from California to Georgia. A contract was agreed to in advance for the move, including labor, wrapping, insurance, and so forth(all detailed on the contract).

Fast forward ahead to the day of the move. The problems start when the movers come in and say to us (just looking at the boxes in the apartment) that we have well in excess of what we discussed, we will have to renegotiate our moving contract because we have more than we talked about, after everything was on the truck they said the cost would be double. 

Our stuff is currently in transit. At this point, ~1450 has been put on our credit card--$200 a month and a half ago and $1250 a couple of days ago. When the stuff gets delivered, we have to pay the remaining bit in either cash or a cashier's check. (We cannot pay with a CC at the end. My guess is that the people who drive the stuff down are a different set of subcontractors and these people are either illegals, not reporting their income to the government, or wanting to make sure that they at least have some cash in the event that the unsatisfied customer does a charge back on the first half.)

My primary question is whether or not any of you have been in a similar situation, and, if so, what did you do to resolve it? My family is full of lawyers and all of the various legal options have been laid out. I am not looking for legal advice as much as I am looking for other stories similar to mine and what was done (if anything) to prevent yourself from getting completely screwed by, or even profiting from, an obvious bait and switch.