Traveling can literally be a magnet for bed bugs. They like to hide in hotel rooms, under your pillows and blankets, and in the carpet. They can stay dormant for long periods of time, so you can't see them very well. They are very small and can hide in the most remote places in hotel rooms, so you really need to stay vigilant.
One thing you can do to prevent getting infested with bed bugs while traveling is to make sure to wash your clothes in extremely hot water. This will kill any bed bugs that are living in your clothes. Also, you should shake them out and vacuum them, as this will help get rid of any eggs or dead bugs.
Traveling will always be a risk when talking about bed bugs, and you will always need to be careful. Just remember to wash your clothes and shake them out, and to check around your hotel room, and you should be relatively safe.