Context: I'm having an issue with fleas in the apartment. I have three adult cats, which I bathe every 6 weeks more or less. Back 3 months ago, they got fleas from the outside. I used Frontline Plus that one time only, washed all blankets and vacuumed the house prior to cleaning. After cleaning I used a common household inseticide on the corners and near the walls. (Of course I kept the cats in another room for the day) and everything appeared to be fine.
But this week I discovered fleas again. Since I'm not walking the cats outside anymore, I think some hidden flea eggs have survived and now they've hatched.
Apart from a new Frontline round, I'm thinking about doing a very thorough cleaning with water, detergent and bleach (sodium hypochlorite) in the entire apartment. But I'm in doubt whether it's effective in cleaning flea eggs. My search on the subject has proven inconclusive.
The question, like in the title, is whether bleach kills flea eggs.