I am a safety advisor and at one of the camps had bedbugs. A local pest control company came in. They STRIPPED the room. Replaced the mattress and box spring, removed carpeting, took out the baseboards. Anything that could create a crack or crevice had to be dealt with. Either taken completely out or fumigated and returned. The the room was fumigated. After 2weeks it was fumigated again to get any eggs that may have hatched. Any tiny crack can hide a bug. As one person said, a single bug can restart the whole mess again.
IIRC the heat required to kill these bugs can be detrimental to other objects. Things that contain plastic can be damaged for example. These things live all over the world so if we can live there so can they.
Fumigation will not affect any eggs only bugs that are hatched. This was told to me by the pest control company.