Parent Tips to Turn Picky Kids on to Vegetables One of the most common New Year's resolutions is to start eating healthier. Improving nutrition is an essential component for family health. Right, you're saying. Tell that to my picky kid. Alas, picky eating habits are very common among preschoolers; it's a step to becoming independent. Normal or not, it can cause parents a lot of woe. Health and nutrition experts tell us to feed kids more fresh, green vegetables. If junior won't eat his veggies, the point becomes moot, however. Looking for ways to turn a fussy eater on to vegetables? Try these tips.