Moving company over charging

I was a resident of georgia moving to florida and the moving company I hired was incorp in New Jersey. the company had me fill out a self reporting estimate of my property to be moved and sent me a quote. In the guaranteed quote, the moving company stated "WE WILL LOAD, UNLOAD, PACK, DISASSEMBLE AND REASSEMBLE EVERYTHING FOR YOU.THIS ALSO COVERS YOU FOR GAS,TOLLS, DISTANCE, BRIDGES, MILEAGE, AND TAXES.PACKING MATERIALS ARE NOT INCLUDED. THERE WILL BE AN ADDITIONAL LABOR CHARGE FOR PACKING MATERIALS PROVIDED BY CUSTOMER". I called to question them about whether I wold be charged for providing my own boxes and was told no, there would be no extra charge. Now I have paid 80% of the est cost and am told that infact my cost is more than the estimated by almost 2x the 1500.00 dollar amount. My question is what recourse do I have to get my things back and pay the estimate quote?

Did you really expect your self-estimate to be accurate ? , or was that for ins. coverage , only ?

Why did you pay 80 % down ?