Will bleach kill bed bug eggs?

Sure Bleach will kill them, if applied to them or a small amount of bleach in an enclosed space will kill the ones in that space. However the thing is, bed bugs feed on people so normal eating pesticides won't work. Alcohol in an enclosed space will work on any bugs. Soak a cotton ball with alcohol and let it kill the bugs, then you have a perfect non-squashed specimen. To get rid of bed bugs you'll need to get a matress bag, to trap them in, dry everything you can get in the dryer on hot for at least 10 min. best to dry bedding everyday.