Percy
Let me just point something out, this all happened when Percy was at work and he had no fucking clue that any of his friends were visiting. Annabeth actually planned for all this to happen. She knew Percy wouldn't approve and that he wanted you far away from the demigod world as possible. That unfortunately means no contact with any of his closest friends. So when the Seven + Nico came to the door, they were very surprised to see Annabeth holding a sleeping you at the door. They of course asked if it you were her and Percy's. At which Annabeth said no and described how Percy got you in much detail as possible. They weren't really surprised seeing as Percy has the overwhelming urge to save people but they were surprised that Percy had lasted so long without help before Annabeth came pounding on his door. It took a few hours for Percy to get home and when he did he wasn't pleased. He was giving his wolf glare to Annabeth and was about ready to ask them to leave when he heard you giggling at the funny faces Leo was making. So, Percy just picked you up sat on the couch and started catching up with his friends. Let's just say your going to be seeing Aunt Hazel, Uncle Leo and Aunt Piper a lot more often. Yay! More free babysitters!
Jason
It wasn't until you were a month old that Jason called his friends over. And by friends, I mean the Seven and Nico. Percy was the first person to grab you out of Jason's arms and start hugging the daylights out of you. Jason nearly had a fucking heart attack and almost electrocuted Percy, until he heard you screeching in delight at seeing a new person. As the rest of the Seven + Nico arrived, they saw Percy being goofy with you. They all smiled at the sight and offered their condolences to Jason and took turns holding you. All in all, it turned out better than Jason expected it too.
Leo
Been there written that *cough cough* part five *cough cough*
Nico
When Percy said he was coming over against Nico's wishes, Nico knew he was in trouble. For one, he wasn't exactly ready for people to come over due to him not used to taking care of you yet. Also, he was, to put it lightly, overprotective and incredibly doting. Now that wouldn't be such a bad thing if there was a mother in the picture to keep him grounded. Sadly, and obviously, there is no mother. But Nico was thankful that it was only Percy and no one else. Percy understood that he needed to lay low and the more people around Nico makes the Avengers job at finding Nico a lot easier. To say that Nico was anxious when Percy picked you up and started hugging you would be a lie. He was practically having a MELTDOWN when Percy touched you. He was able to keep his composure though when he remembered that you were safe with him if Nico were to leave the room or if something were to happen to him. Percy and Nico talked a bit while you were asleep in your little bassinet, it took a lot of convincing from Nico for Percy to put you down. They caught up on everything Nico missed and by the end of it, Percy promised not to tell anyone else about you until he felt the time was right and Percy was named as your secondary guardian if something were to ever happen to Nico. Percy's visit turned out a lot better than Nico expected.
Edit 6/14/18: Just doing some maintenance
