Tenants Application (Moving due to bedbug/roach infestation)

[CJ B.]

Hey BP

Had an applicant apply for my unit. 

Upon checking with the tenants references, their current landlord disclosed they are moving due to a bedbug/roach infestation. Without giving specifics to the applicant, I had asked about any "infestations" and they disclosed it. They mentioned they had "gotten rid of all possessions, except for some essentials", and that "pest control said if they treated and moved on the same day", they would be gone. 

 How can I be assured they won't introduce them to my property? 

I pose this question on here, because otherwise, they check out fine and have passed other qualifications. However, I definitely want to err on the side of caution. 

What to do? 

Thanks guys!