To avoid bringing bedbugs home with you, you should thoroughly check your hotel room for signs of an infestation. To do this, check the seams of the mattress, the headboard and other tight areas around the bed for small dark spots, which could be either excrement or blood stains. Remember that bug beds infest even the cleanest of hotels, so if you find any signs of infestation notify the management and ask for another room or a refund.
You should also store your luggage on a luggage rack as far away from the bed as possible, even if there are no signs of infestation. When you return home throw your clothes in the dryer, and dry them on the highest setting possible.