Just spoke to the City Attorney for clarification and he agrees it is a little vague but we are completely safe. As I had interpreted it, "wild animals" refers to really wild animals such as lions, tigers, and bears (on my!).
Fish, reptiles (including snakes), guinea pigs, etc are unregulated and as he put it, "Could care less". So, as a good steward for my animals, I did my job and feel relieved. Always better to be safe than sorry when moving..