My idea was going to be that they had a nice loft apartment. Did you ever see Mission Hill? Something like that, I suppose. Or Big Daddy. Awesome apartment there. Would make a nice lair. Y'know, luxurious for New York City, but compared to where The League hangs out it's basically a burning garbage pile. It would be a standard superhero safehouse. Reinforced walls and windows, alarms, electronic locks, encrypted internet and wi-fi, computer system. No 'big stuff' though, like a science lab or robotic guards or anything crazy though. Just a secure place to live.