A few TL notes:
[ul]The original name Yuka suggests for the cat is "Torakichi", which is "Tiger" + a male name suffix[/ul]
[ul]The name of the cat and the store was "ファレノ(Faleno)", a shortening of Phalaenopsis (Moth orchid)[/ul]
[ul]The "lucky cat" Mio's referring to is the maneki-neko or beckoning cat[/ul]