Most child abuse is committed by family and friends. Perhaps a little skepticism is healthy, rather than teaching them to have unwavering trust in authority figures. Besides, you're bound to screw up a few times anyway (e.g. walking into them when they're suddenly standing where you don't expect, bumping a head when picking them up, …). Kids are fairly forgiving.
Rather than being a father who is not abusing his child, better to abuse the child to teach a valuable lesson that family cannot be trusted? Great lesson. How about being a father who can be trusted?