Hal was literally Bruce's last option to babysit you, but here Hal is holding you, Bruce's baby, in his small Coast City apartment because Bruce han no other options.
Gotham is dealing with massive gas attacks, so you can't stay there, Clark is off planet, Oliver is investigating a murder spree in Star City, Barry is dealing with Eobard again, and the rest of the JL is busy holding down the fort so to speak.
But Hal? Completely free, no Lantern mission, no big bads attacking Coast City, nothing, he's the best option to take care of Bruce's young child, to take care of you for a few days until Gotham is safe.
"What do you even do?"
Hal pokes your nose as he holds you, sitting on his couch as he glances at the baby supplies Bruce left.
"Man, Bruce got you the expensive stuff, huh? I'm not surprised..."
Half this stuff combined is worth more than Hal's entire apartment...