"Lilu," he grinned at her, a slightly more genuine grin than before because he was genuinely glad to meet her. She looked like Lily, with a hint of James around the eyes, and some of Harry maybe in the ears and probably some of her mother but he'd never met her mother, though he could definitely see some of the Weasley in the wild freckles. He found himself liking her immediately, and it wasn't hard to pull the enthusiasm out. As long as he didn't think about anything else this would be a very fun time.
He held his arms out, inviting the hug but not throwing himself at her like he might with other people. And it was definitely not because she knew all his secrets and just because they hadn't officially met yet and and might not be a hugger, like her brother wasn't a hugger.
"It's absolutely brilliant to meet you. You know you're technically my God Granddaughter, right? Which is even better than being blood related if you ask me, which we also are, because Blacks and Weasley's, you know, messy pureblood family trees and all that. So. Hugs? I like hugs, but if you don't I'll settle for a firm handshake and finger guns?"