I was having the same problem last year, and also needed something that was non-toxic, because of my pets (my son is now grown). The ants have been terrible for the last 2 years....it isn't even Spring yet, and we're finding them already, just from the few warm days we've had.
Spraying outside, along the foundation of your house may help...just make sure that you buy something that is non-toxic once it dries, and it should be pretty safe.
What worked for me, inside, was placing Bounce Dryer Sheets around the areas where I thought they were coming in, and also on my kitchen counters, under and behind things. Within 2 or 3 days we had no more ants!
Of course, you'll have to be more careful where you put them, because you have young children, but if you tack them under doors, and put them in window sills, with the window down on top of them. they should be fairly safe. You can also place them underneath things on your kitchen counters, where your children can't reach them.
I've also heard that placing baking soda over the trails where they are coming in works as well, although I haven't tried it. Just a couple of suggestions.....