Since part of my job is preparing paperwork for hazardous shipments you might want to know this.
FedEx Express is a world leader in transporting dangerous goods, which can include many surprising items such as nail polish, cologne, perfume and even airbags.
Anyway, regardless of the carrier or method of shipment, always check with the carrier first because you could get fined, even as an individual for shipping hazardous materials incorrectly and/or without declaration. My best guess is that you would only be able to ship perfume ground through the Postal Service, which would be Parcel Post. You have to be set up w/ UPS, Fedex and DHL.
Sorry to go off topic, but I'm just lookin' out for ya, hun!
If you are not sure whether your commodity meets the definition of a dangerous good, contact the DOT at 1.800.467.4922.