Eradicating fleas in a home is so dead easy and you can be the hero to this lady. I have a house rabbit, 5 cats, and I foster little street urchins for a local rescue. I have not had fleas on my animals or in my carpets in 20 years.
The cure is, of course, Advantage for the cats, since her pets are indoor/outdoor. Best price for that is on Amazon and best dosing instructions are written in the comments.
And for the house, sprinkle boric acid in the carpets and furniture. It kills the fleas and the eggs and works until it gets wet. Don't vacuum right away, let it get deep in the fibers where the eggs are. The vet told us to apply it with a flour sifter and a shoe to beat it into the carpets, and that's exactly how I used to do it but that was back before they invented all the wonderful topical pet treatments. Nowdays, I get kittens that are hopping with fleas when they get here and we pop 'em a capstar and that's all we have to do. We don't even have to use Advantage on our cats, just the momma cats and just on the kittens before they go to the shelter for their surgery and to be put on display with other kittens for adoption. No fleas, not in 2 decades. Anything the meds missed drop off and are desiccated by the boric acid. People with outdoor pets should expect to sprinkle boric acid more often to their carpet and furniture.
We used to be able to buy boric acid at Home Depot but now they mix it with pesticides so I don't buy that. I bought some on Amazon a few years ago, simply don't need to use it very often because my pets are all indoor. I've heard some people use 20 Mule Team Borax, but that's a soap mixed with boric acid and although it works, what happens when your carpet gets wet? Endless suds? I just get the exact stuff I want on Amazon and be done with it.