Courier or delivery service
People use courier and delivery service as if they mean the same thing, but they describe different ways of moving an item. A courier sends one dedicated vehicle to collect your item and drive it straight to the receiver, with no hub sorting and no other stops in between.
Delivery service is the wider term. It includes parcel networks that collect many packages, sort them through hubs and deliver them on set routes over one or more days. That suits routine shipments, but an item that has to arrive today, or must not be handled by many people, needs a courier.
SameDayDelivery.com books dedicated vehicles that run direct for business deliveries across the US, Canada and Mexico. One contact manages each delivery from pickup to signature.