The commission may require any household goods carrier to file a surety bond, or deposit security, in an amount determined by the commission, that is conditioned on the carrier compensating the shippers and consignees for all money belonging to the shippers and consignees, and coming into the possession of the carrier in connection with its transportation service. Any household goods carrier required by law to compensate a shipper or consignee for any loss, damage, or default, for which a connecting common carrier is legally responsible, must be subrogated to the rights of the shipper or consignee under any bond or deposit of security to the extent of the amount paid.