No you don't. You get your luggage from the first carosel go through customs put them on the next belt and they collect it from their. Thats how i did last 2 trips I went on once to POFQ and the first to Pop Century.
Well sorry Paula but that's what happened to me. I took my cases with me on the monorail and went straight to the DME desk to check in. I was told that since I was on an international flight they couldn't/wouldn't collect my bags and send them straight to the hotel. The 4/5 times I've used DME this has always been the case. If this has changed, when I booked the service they didn't say!
Andy
P.S. Seems like things have changed! Here's the FAQ's on International Travellers from the DME website:
INTERNATIONAL TRAVELERS
Q. As an international traveler, do I have to claim my luggage?
A. If the Orlando International Airport is your first point of entry into the United States, you will follow the U.S. Customs & Border Protection process and claim your luggage upon disembarking the airplane. Once you have completed this process, you will give your luggage back to the airport officials and proceed to the Disney Welcome Center located in the Main Terminal Building on the B side on Level 1. Your luggage will be transferred to the Baggage Claim area, where Disney will collect it. If you have already completed the U.S. Customs & Border Protection process in another U.S. city, you will proceed directly to the Disney Welcome Center; Disney will claim your luggage. Download Airport Map
Q. On my day of departure, how will I know what time a motor coach will pick me up at my Resort hotel to return to Orlando International Airport?
A. The day before you check out, you will receive a Transportation Notice advising you of your motor coach pick-up time and giving you other general information. Your motor coach pick-up time will be approximately four (4) hours prior to your flight departure time from Orlando International Airport. You are responsible for bringing your luggage to the motor coach pick-up location
Q. If I am departing for an international destination, can I still utilize Resort Airline Check-In Service?
A. At this time, the service is only available if you are flying domestically (including Puerto Rico). If you are flying internationally, you will need to check in directly with your airline at Orlando International Airport.