The only thing they need is a care quite similar to fondant. Here I tell you how to store fondant. Why similar? Because in some respects, having changed the state of fondant, they are not the same despite remaining the same.
Once fondant hardens, the biggest change is its fragility. It becomes something like a porcelain figurine. You do not believe it? Take a figure that is completely dry and drop it to see what happens. But before you do, make sure you don’t really like it and please don’t tell me I didn’t warn you.
Joking apart. They are very delicate figures, they break very easily, and they need to be away from the sun.