Bake to Transforms turns Pose Controls (e.g. the eyes side to side slider on the head or figure node) into rotations on the bones (side to side on each eye).

Transfer Utility is used to project the rigging from a base figure figure (e.g a Genesis) into a model that is to become a fitted item - it can also be used to project morphs. It is a tool to simplify rigging.

Strand-based hair is genrated from the mesh it is attached to, so I am not sure what what you want - to separate the fur and base model - is possible, but I am not clear on what your ultimate goal is since you speak of bringing it back into DS.