Will bedbugs stay in your clothes?

No this is unlikely but not impossible. Bedbugs basically live in or near people's beds. However one or more may possibly first get there after a female bedbug laid eggs in your clothes, perhaps while you were staying in a hotel with a bedbug infestation, and your clothes were lying somewhere in your room. You would be unlikely to see the eggs. It is much less likely an alive bedbug would be transported back home with you, but without you seeing it and killing it. It is after the eggs hatch that the newly born bedbug nymph will be attracted towards your bed while you are asleep, and after its first meal off you set up its new base in or near your bed.