One constant of the fairy tale hunt is that it is a chase. How else can the character get lost where he's bound, if not to get into trouble, at least to learn something?
Of course, another constant is that they don't have to give more than the fact the character is hunting to set the stage. No details, no local color, no description.
At the current moment, I am toying with deerhounds, and huntsmen, and being very glad that the point of view character is rather young and on his first hunt. Nothing like an iron-clad excuse to not know what's going on.
Hmmm. . . there's another character who will look out for him, but fortunately, he does not have to know much, either.