Easy question first: Yes, there are two different busts with both the official ones done by DCL. They are both awesome and gorgeous in different ways. (I‘ll post them both under a spoiler tag after I’m done here)
There are events that could trigger when you walk through Kinu’s square (16 total) that could be either you interacting with Kinu or you playing as Kinu. Either way, when you make a choice, it will influence her Personality Score towards either Kitsune Hime or Young Inari. A score of 0 or higher will result in Young Inari while a negative number score will result in Kitsune Hime. By default, Kinu starts with a score of 1. As you progress, you can see which route you’re leaning based om certain dialogue from Kinu (i.e. her attitude towards her mother and what she talks about regarding her education). You can also just open up your save file and check the number yourself, hahaha.
I will also note that in order to guarantee you get all 16 events, make sure you at least 16 kits with Kiyoko because some events are gated behind how many kids you have with Kiyoko (one of the events requires at least 16 kits to trigger, and there’s one needing 4 and another needing 6 or 8).
Also, if you’re having rotten luck getting any events to proc, just pacing around Kinu’s square until you get one works.
One last thing I will note is that there isn’t a “good” or “bad” route either way for Kinu (though they are kinda opposite extremes on the sociability/willfulness spectrum), so if you like being surprised, all I can say is pick whatever choice you feel inclined to take and see where it takes you.
Hope that answers your question well enough! And without further ado, have the two Kinus:
EDIT: PS: CoC2 wiki is your friend if you want all busts and stuff in one place. ;p