My favorite excercise is the yoga/pilates ball. If nothing else I like bouncing on it when I watch TV (those legs get a very good workout) or stretching on it when I'm sore. The problem I have is my kids LOVE this ball. EVERY single time I'm on it, one of my 3 kids comes and begs for the ball. Just say no? Not when it comes to a 2 year old whining nonstop (which kills the joy buzz).

lol I am the same way on my ball, but I have no kids, so if one of my cats wants my attention, they pop it( I am on #3 or 4 right now!)
I have seen balls in kids toy catalogues that have a handle on them to help the kids stay on, have you thought abouut getting one of the kid versions?

https://www.childcrafteducation.com/ has one that is 18 inches in diameterfor ages 3-6, but they have many other sizes too.