Plucking, processing, and parting takes me 2 hrs. Skinning, processing and parting takes me 1.5 hrs. I find skinning easier and less trouble.
I cover a tree with a garbage bag that I cut open and wash to provide a clean work surface. I wire it in place at the top. Then I use homemade wire shackles to hold the bird upside down and hang it on the tree in front of the garbage bag. Then I cut around where the scales on the legs meet feathers (just down from the joint into the skin area), go around the legs in a circle, then cut down the outside of the legs. Then I pull to get most of the rest of the skin off like a glove. I cut the skin across the breast and pull it towards the vent and head, cut the skin across the middle of the back and pull it towards the vent and head (use a knife to remove it from the lower back). The wings are a bit tricky, I pull off what I can and then use a sharp knife to cut the pinfeathers off at the bone. I discard wing tips and head.
Lots of rinsing. I keep a flap of skin around the vent, but will trim or remove feathers there - I use this flap to keep any ickyness contained until I can remove it with the vent and all the entrails during gutting.
Once skin is off, I place the bird on a flat table, break the legs sideways at the feathers/scales joint, cut off the legs at that joint, remove the crop and esophagus, cut off the neck (can be done later), and then gut the bird. Lots of soap and water for my hands and knife between operations, rinse the carcass to remove blood and feathers.
Here is my favorite skinning knife for cutting between membranes and removing skin. Makes life so much easier! A different knife is recommended for cutting at joints. Don't forget cut-proof gloves or mesh gauntlets like they use in the food service industry for slicing meat. A properly sharpened knife will cut you just by touching you, and you won't feel it. So wear protection.
Joint knife and sticking knife (there are a number of options)