Fleas will bite humans but they can't live long without a host. If you treat your cat(s) and treat monthly with a safe product like Advantage and clean/wash/vacuum all soft surfaces they should die. You can do Borax or diatomaceous earth but they will eventually go away. In general bombs/sprays are horrendous. We often treat pets for illness because they or their environments have been over treated.
You have to treat any other animals that can be hosts for fleas as well.