Nancy,

There are precautions for everything, you know there were probably a bunch of hoo-has out there that decided to eat a # of the turf or pool DE. (There are different kinds, only use food grade in your home, on your pets or on your vege's.) The kind you get a Lowe's or home Depot has fillers. Do not use that crap, it is diluted with fillers & toxins!
You should wear a dust mask if you're going to dust your house with it, but once the dust settles, you should be all right. My mother has been using it since the 70's & I've used it my whole life in the garden, home & on & in my pets for 2 decades.
Take a small 1/2 a handful, & rub/fluff it into your pets coat(when dry). If they lick it off, it's fine(use only food grade DE).

Hope this helps some. They use it in organic farming to naturally boost the internal health of many animals. I've used it & seen it used (correctly) for many 3 decades.

LMK if you need more info! ~Cheryl