Picky eaters are more likely to eat vegetables that they have harvested themselves. They'll become curious about the growing process and want to sample the fruits of their labours. Let your kid choose which vegetables he or she wants to grow, and add a few that you’d like them to try. Go together to buy seeds or seedlings at a local nursery. After planting, watch the parental instincts emerge as your child tries to care for the baby plants.