While you're traveling, don't put your clothes on the floor or on the bed in your hotel room. Even if you've inspected the room and don't see any signs of bed bugs, you can't be 100% sure. It's possible to miss small signs, and it's possible for bed bugs to come into your room a day or two later.
If you have a problem with bed bugs in your home, and you're looking for all sorts of ways to get rid of them, steaming is a pretty good idea. Firstly, and very importantly, you won't be using nasty chemicals which are bad for the environment and your health, but also steaming is very effective.
Do bed bugs travel in clothes? Of course, you can carry bed bugs in your clothes. However, they will likely hide inside the clothes because they don't like being exposed to heat.
A bed bug's mouthparts can't penetrate most clothing, but that doesn't make clothes a good option for preventing bites if you have an infestation. Not only can they crawl under clothes, but they are happy to bite any exposed area of skin, including the face and neck.
Since bed bugs do not stay on bodies, they are not transmitted from one person to another person via physical contact. But they can surely travel from your clothing to another people's clothing. They hitchhike on clothes, luggage, and possessions. They can travel from your possessions to another people's possession.
It's unlikely that a bed bug would travel on you or the clothes you are wearing. You move too much to be a good hiding place. Bed bugs are more likely to be spread via luggage, backpacks, briefcases, mattresses, and used furniture.