I am so glad you're asking this question, C.. As a sixty-something granny, I grew up exposed to "insignificant" amounts of hundreds of potentially toxic chemicals. I was healthy and seemingly doing just fine until my late 30's, when I abruptly found myself so ill that I thought I must be dying. I was physically miserable and drained, and emotionally undone.
I gradually learned (with the guidance of a fantastic doctor) that I felt better as I learned to identify and avoid toxins in my food, water, air, and all the products I used to apply to my body or clean my home.
This required a MAJOR restructuring of my whole life and cost a lot of time, effort, and money. To this day, I still have to leave the room if someone enters with perfume or fabric softener wafting from their bodies; I can't use public bathrooms with air "fresheners"; I have to avoid driving in heavy traffic, and numerous other major and minor inconveniences. And I have never again been truly healthy or even comfortable, even with those precautions.
No parent would want this to happen to their their children, and kids are becoming overloaded with toxins today that didn't even exist when I was young. Signs of trouble can come on gradually or be sudden and severe. In either case, it may be difficult to learn what the problem is, and any number of other illnesses can be suspected first.
Most modern toxins are present in minute amounts, but are ubiquitous and hard to avoid. And these ingredients combined can have a much greater synergistic effect than they would have by themselves.
One quick way to check product safety is to google "safety, (name an ingredient)." You'll usually get pages of everything from consumer reports and articles to scientific fact sheets to alarming rumors, many unfounded. But you don't have to read and weigh all the rumors when you can go straight to the scientific evidence for yourself. It can be a little daunting at first to understand some of the terminology used in a chemical fact sheet, but far from impossible, and then you'll have real information on which to base your shopping choices. Best of luck to you on your inquiry.