Ohh so cute!

When I have a new family member to name, I go to baby name sites. There are a whole lot of them. I like this one because you can think of something meaningful and search names with associated meanings: The Meaning of Names at Baby Names World

So like, I think of something meaningful to me, or that I would like to emphasize about the animal, and then I search for it.

Here's an example of a search I did for names that have to do with "rain": The Meaning of Names at Baby Names World

Good luck.