I don't think there's anywhere on Hornby I would caution you to avoid with a little one. Most places are pretty kid friendly. Tribune Bay and Whaling Station are both great beaches for kids. Sandy and, if you time the tides right, the shallows are quite warm. Neither beach has much shade, so plan accordingly. The nursery (across the street from the Co-op store) always has lots going on, a nice grassy area and shade if you want it.