I can't figure out how to break a path's subpaths into separate, individual paths in Photoshop CC. Everything I find online suggests there is an Object menu (?) but I'm either too stupid to locate it, or it's not in Photoshop CC. I can't locate the information in Adobe's online documentation either. Is this not possible in CC?
Photoshop doesn't have an equivalent to the Scissor tool in Illustrator or InDesign. To cut a path, add an anchor point on each side of the point where you want to cut, then delete the original anchor point.
The Path Selection Tool (black arrow) and Direct Selection Tool (white arrow) allow you to select individual paths in a vector layer, which you can then cut and paste onto a different layer.