Bed bug infestation is a peril that you will probably not find included in your standard renters insurance policy. If you want coverage against damages caused by these pests, you’ll have to look into the companies that offer this protection as an endorsement or add-on coverage.
For example, you may look at ePremium and Jetty's Bed Bug Remediation Coverage and Bed Bug Protection policies, respectively. This type of coverage is useful because, even if you suspect or find out that there are bed bugs in your rented unit, your landlord might not be found at fault for the infestation. This means that fixing the problem or further damage prevention will be your responsibility.