This is not a supernatural manga, the tiger and rabbit representation is not meant to be 'furry'.
The tiger and the rabbit are metaphors for their personalities, if I remember correctly the animals are also representations the year the characters were born into [year of the tiger and year of the rabbit]. It's a technique some older manga use.
The translation group also explains the idiom that refers to the tiger and the rabbit that is referred to but I don't remember it because it has been a long time since I read this but it is similar to the meaning to the fable of the lion and the lamb in English. They also explain the meaning/superstitions about personality and character traits being born under a certain zodiac animal.
All is explained in the translation notes.
I'm a furry myself but I just don't understand a pairing between a tiger and a rabbit. It looks weird in a way atleast to me.