Bucky smiled a bit, watching L.L. "Honest answer? I own this place. Well...Natasha and I both do. Through various spy means." Which mean shell companies. Enough that were obscure enough that no one would know.
At the hug he wrapped his arms around her and returned the hug. "I'm glad you like it." He broke from the hug after a few moments and began showing her around the space. Once they were finished with the tour, he looked at L.L., his eyes warm.
"So birthday girl. Where would you like to go first in Paris?"