Yeah, they do. My Piplup is certainly one of the cutest Pokémon I've seen so far. [Piplup smiled proudly and placed his little wings on either side of his body. It seemed he agreed.]

Perhaps you got an egg because you're a Breeder. Maybe us Trainers don't get eggs. At least, I didn't when I first arrived here. I've spoken with a few other Trainers and it seems that we catch Pokémon to train from the wild. I've not actually done that yet. [He looked across to Piplup and offered him a apologetic smile.]

Cyndaquil? Oh, fire. One of my close friends has a Fire-type too. He's got a Torkoal.