Can bed bugs travel on you or objects?

I stayed the night at my grandparents house for 4 days and while i was there i noticed many bites on me i looked up bed bug bites and it looks the same. Now im home and i was wondering if bed bugs can travel? The same pillow i slept with at my grand parents i slept with at my house when i got home bcuz i did not yet know it was bed bugs.


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