Flea bombing the house, unless the infestation is extremely severe, isn't necessary. By using Revolution or Advantage on the cats and thoroughly vacuuming the house daily for a week or two, you'll get rid of the fleas and eggs pretty quickly. One trick I've used for years is to put one mothball into the vacuum cleaner bag. Just one. It will kill the fleas and eggs that you suck up out of the carpets and furniture, so you don't have to change the bag every time you vacuum.
Flea collars are pretty much useless, if they were strong enough to kill all the fleas on the cat, they'd be too poisonous to use.
Some cats have reactions to the one-drop medications like Revolution, so do keep a close eye on your kitty and if he/she begins shaking or twitching, wash him as quickly as possible and get him to the vet! In all the years I've had cats, I only had one that had a reaction to the meds, so I believe we used a different, weaker medication the next time and it worked just fine.
WARNING: Keep the mothballs out of reach of children and pets.
