DE will kill bed bugs too. Actually any insect or critter with an exoskeleton. Gets in between the skeletal plates and grinds them up.
If anyone has bedbugs and wants the scoop on how to get rid of them in confidence Freepmail me. I got the demon bastards from a Marriott in Cincinnati and beat them with no chemicals.
It is amazing stuff. My sister just called about application to her cat. She called back later and said no more scratching.