Certainly, one of the most important aspects of your moving is the cost.
BAFA will inform you on the transportation costs in written, and has to take all the precautions before the beginning of transportation and let you know about the extra expenses which may rise at port and customs authorities so that you will not encounter any unexpected expenditures at the place of delivery.
Even though, the costs which may rise at the customs and ports of delivery cannot be known exactly beforehand, the exact numbers will be provided in the official documents issued by the Customs and Port authorities after your household goods reach the concerned ports and customs.