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But when they come in contact with one's bed, they born and spread like crazy!

I know I brought some back from staying in a hotel once and I had to put diatomaceous earth all around the corners of the bedroom and around the edge of the bed after drying the sheets. It did the trick once they get a tiny bit of diatomaceous earth on them they dehydrate and die. The only other way to get rid of them is to heat the whole bedroom with heaters up over a 100 degrees but you only do that if you have a major infestation.

Hmm, glad they were finally gone.
Those guys are unwelcome guest.