There isn't much room left in that corner; most people are hanging out there. And you don't need to hang out in the corner per se; why not hang out in the kitchen? There's food in the kitchen.
They are quite rare. I've been looking for one ever since the catcher came out and haven't found any either.
I just got a shiny Starly, my first shiny on the site!!!! I'm so happy it's a Pokémon I actually like!! ;w;
1/4000, so you're not just gonna find them all over the place unlike in the games these are actually rare. XD
I still haven't found a shiny. I missed the limited time when they were common and I haven't managed to find a single one since.