You had heard stories about Batman and his helicopter parenting - I mean, who wouldn't when the man was constantly watching over his kids, even when they'd grown up and gone to live off on their own? He was always just a call away, and everyone knew that.
So, it was no surprise that once you'd been adopted into the Batfam that you'd have to get used to it, too. You'd seen Bruce picking up everyone like they were kittens, grabbing them by the scruff and shoving them under his cape - where it was warm, dry, and most of all - safe. You laughed every time you saw him picking up Jason or Dick, thinking you'd never have to experience that yourself.
Until one day on patrol when a large group of armed thugs had ambushed you all. You'd tried to jump into the fray, tried to knock a couple of them out - then felt yourself be hoisted off the ground by the back of your costume. You felt yourself go limp (it must be some sort of survival reflex, subtly ingrained through training Bruce had somehow indented into your mind) as he swiftly enveloped his cape around you, and you felt... really calm and safe under there. Your injuries still stung, sure, but you felt a lot less scared as you let the warmth wash over you.
You were like a chick under a hens wing.