What is a safe way to kill bedbugs with some lethal concoction when there are young children in the home?

The idea is... ...To use a concoction that's lethal to bugs and safe for people, and to use it on surfaces that are inaccessible to children. That's why you need a professional exterminator.
Big Job. Declutter entire bedroom ; other effected rooms. See site for info: http://treatmentforbedbugs.Com/ put all junk in tightly sealed plastic ; dispose of it. Wash clothing, linens, towels in hot water. Dry on highest heat - then repeat. Place clean items in a sealed bag to prevent re-infestation. Steam clean what can't go in drier. Vacuum everything using a disposable bag. Seal bag ; dispose.