Your heir...

Willful This child is stubborn and strong-willed, and doesn't obey or give way easily. Can develop into: Ambitious, Brave or Stubborn.
Curious This child has an inquisitive nature and is constantly asking questions and poking around looking for new and interesting things. Can develop into: Shrewd, Cynical or sympathies for other religions.

Oh, it seems like it's about me.

Choose up to two traits that you would like to see or expect in your child (even if you don't want to have one at all).

Two is too few :(.
Well, then, like this.
For a boy:
Willful This child is stubborn and strong-willed, and doesn't obey or give way easily. Can develop into: Ambitious, Brave or Stubborn.
Curious This child has an inquisitive nature and is constantly asking questions and poking around looking for new and interesting things. Can develop into: Shrewd, Cynical or sympathies for other religions.

for a girl:
Playful This child loves to engage in fun and games, almost always turning any activity into an excuse to play. Can develop into: Gregarious, Deceitful or (rarely) Lunatic.
Curious This child has an inquisitive nature and is constantly asking questions and poking around looking for new and interesting things. Can develop into: Shrewd, Cynical or sympathies for other religions.
I would add Affectionate here, but since there's a limit, I won't.

Added 6 minutes ago
regarding randomness.
Revan, it's not necessary that only one trait develops. All three can develop at once.