Yes, Disney is extremely a sanitary place. My brother worked there, he said they are Very strict with sanitation. Bed Bugs are something you cannot stop from happening. It can and has happened in almost any hotel, anywhere in the world. Disney is MUCH better then most... If there is issues, they will remove everything, including mattress. Like I saw someone else say, it's one in a million shot. Best thing you can do, if you want to be cautious... Check the mattress under the sheets, especially around the seams. I never do it, but its a very good tip for people who worry. I've been there many many times and never had a problem. Just enjoy your trip!