A Bug's Death Exterminators is a company that specializes in killing bugs. 742 Evergreen Terrace was fumigated by the company when the house was infested with Termites. Homer hired them because of how funny their logo was. Raphael works for them.
Behind the Laughter
The name of the company (mainly the Logo) is an obvious reference of the 1998 Pixar film A Bug's Life which started David Hyde Pierce
