Bleach will not kill the eggs and the CDC never did get back to me when I asked what will kill them. From what I have learned, the ONLY thing that will kill the eggs is heat. I use a steamer but I'm not sure that will work either, although, it seems to me that it has helped (when I have the energy to use it). Sun is good! I hear that works. Just kinda hard to get my bed out there every day!