All industries have their specific terms. Here are a couple that you might hear from your local moving company.

Expedited Service
A program which, for an additional charge, allows a specific delivery date to be requested. If the date is not met, only standard charges apply.

Extra Stop (Extra Pickup or Delivery)
If a van operator is required to make an extra stop at either origin or destination (other than the main pickup or delivery points) an extra charge is assessed – the charge is determined by the tariff.

Flight Charge (Stair Carry)
An extra charge to compensate the carrier for the additional labor and time required to move a shipment up or down flights of stairs which lead to or from an origin or destination residence.