Of German origin and meaning “brave counsel,” which probably means your little Conrad will likely have no qualms about boldly giving people unsolicited opinions like, “Your hair looks silly!” in a huge toddler voice.
You can't shorten it to "Con" for obvious reasons - but how awesome would it be to call him "Rad?"
Famous people named Conrad:
Actor Conrad Nagel; hotelier Conrad Hilton; novelist Conrad Aiken; author Conrad Anker.
Conrad Birdie is the title character in the musical "Bye Bye Birdie."