Batman is very happy with the way that Robin has picked up his training, his methods and his habits. Generally. But his protege showing up at the Batcave with two small children, Tim and Jason, clinging to him proves he's adopted one trait Batman would have rather he hadn't. It seems the batfamily has an incurable penchant for picking up strays, and Tim and Jason are only the beginning.

yeah, they're dysfunctional, traumatized, and occasionally murderous, but they're a family, and sometimes they even act like it. the term 'Bat-Family' does sound an awful lot like a mirror to 'Crime-Family'.

It didn’t start with the intention to adopt Lisa. Jason just wanted the option to visit the little girl during the day while not wearing a mask. Sequels to Jason Todd: The Not-So-Outlaw

Dick pulled a face at the new paperwork. “Why do we gotta lie on this stuff, anyway? People aren’t gonna know what I can do exactly when I’m Robin...” “But they’ll suspect,” Bruce answered, typing something on his computer. “This way, if they think Richard Grayson isn’t all that impressive of a metahuman, it’s more cover for Robin flying through Gotham.” “Hmph.” --- In an AU where small, token superpowers are common enough to have their own optional line on forms alongside name and age, it's totally coincidence for Batman to have picked up a circus kid capable of flight. And a tire thief with super strength. And a- well, alright, the pint-sized photographer with not-actual-invisibility makes for a pattern, but even so. (He still tells the Justice League he doesn't allow metahumans in Gotham, though. Somehow with a straight face.) Series

Look, the Batman may be an eldritch inhuman cryptid, but he still needs an emotional support sidekick, and Tim Drake still doesn't have any consistent adult supervision in his life. ¯\_(ツ)_/¯ A cryptid!Batman AU where Superman has explained to newly-cloned Superboy that the Batman is a terrifying eldritch horror given human(-ish) form and Superboy is therefore under the impression that Robin is going to be into weird shit like being brought damning evidence and deadly criminals and dangerous problems to solve and will appreciate being slightly stalked. The Bat-cryptids stalk everybody, right? So it’s like their love language, Superboy figures as he’s collecting a bunch of random shiny trinkets to leave out for Robin like he thinks he's a magpie or a crow or something, and maybe also some nice pebbles to cover the penguin angle just in case. Just stuff he might like to decorate the cryptid-nest Superboy is assuming he has with. Superboy is fully correct about Robin appreciating the weird shit and shiny trinkets and being reciprocally stalked, actually, but now Tim has to figure out how to explain that he's actually just a normal human teenager who just decided that his local protection spirit needed an emotional support sidekick before it could get corrupted into a local vengeance spirit. Though he does like the shinies, please don’t assume this means he doesn’t like the shinies or wants a normal relationship with, god forbid, boundaries about not stalking each other or whatever.