Here are my flea recommendations from experience:
Frontline Plus (for the loved baby)
Adams Carpet powder (for the carpet
)
Adams or Zodiac yard spray (if you need it)
Bio Guard shampoo (its a flea shampoo that wont wash off your frontline or topical flea prevention)
If all else fails...use a little bit of Dawn dish soap and a good conditioner to keep from drying the coat out.
Good luck!