"Pokémon GO" is currently available for iOS and Android devices.
Shiny Pokémon are independent - in other words, two people can go to the same place and catch the same Magikarp, which has the same stats and IVs, but they won't necessarily both be Shiny. It's a Pikachu explosion, all over the place!
Shiny Pokémon's evolutions will be Shiny too - the good news, at least, is that Shiny Pokémon will evolve into Shiny Pokémon. Another reason to hold onto those Candies for any Pokémon you encounter!
There's a new warning if you try to transfer a Shiny - if you try and send a Shiny to Professor Willow, you'll get an additional pop-up warning checking that you definitely want to transfer this Shiny Pokémon. Aside from a bug fix with the raid system, shiny Pokémon are also reportedly coming to the game.