Same happened to my brother in law a few years ago. If you can deal with it yourself DO IT. But do it NOW, that crap aint good for ya, if its everywhere, then they (kids) are breathing it in. It can't possible effect your lungs !!!!
but aint good for the little freaks.
In their case, they notified insurance CO. who notified the city (maybe DSS) and made them move out because it was a hazard to the kids. Their mess was only in the basement, did not go through the house. Still they were out of their own house for weeks and until the "department" decided it was safe to inhabit again. NIGHTMARE!!
When I had that small fire in my daughters room, I called a fire/water restoration co and they came down and cleaned, I paid for it myslef no insurance CO.
Maybe get a carpet cleaning co in then and vacuum and wash the entire house.