After messing around with Unity's client/server infrastructure for a short while, I've figured out the best way to make VIRTUAL PET work on the internet, it involves a website, actually! I know how to make these, so it wasn't that big of an issue! Now VIRTUAL PET can send and receive data from the internet!
I should probably put a big bold note somewhere on my game's page when I'll release it to warn people that everything they tell VIRTUAL PET might be seen by someone else. That's part of the game tho :)
Time spent on VIRTUAL pet so far: 33 hours