No, some employers are often willing to provide their own cleaning supplies. (As some have a preference for what cleaning supplies they would like to use.) Most will specify in the listing whether you need to provide your own or not.
Bed bugs are easy to transfer from household to household and are extremely hard to get rid of. Considering what a serious health hazard and costly inconvenience it is to deal with. You should've been notified prior to cleaning the home.
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