On a recent trip to New York, we were very aware of the possibility of bedbugs being present in our hotel room.
Our luggage went into the bathroom as soon as we entered. We thoroughly inspected the mattresses, box springs and furniture, using a high-intensity flashlight we brought for the purpose.
Fortunately, no evidence of bedbugs was found.
If you are concerned about bedbugs in your home or in your travels, these resources may help.
University Guidelines on Bedbug ID and Control (read this first to get tips on inspection and insecticides)
Mayo Clinic (Pictures of bedbug bites)
Sources of bedbug control supplies (there are many more companies you can use)