Aquatic pets!

This is me. This is the shape that let others recognize me as myself. It is my symbol for myself. This is, this is, and this is as well. Representations. Everything is merely a description, not the real myself. Everything is simply a shape, a form, an identifier to let others recognize me as me.

Then what am I?

My girl Lacy! She's so cute. I also have a snail named Spiral somewhere in there, I've had that little guy for years.