Quick tip, if you want to level up BFA skinning very fast, head to the Twilight Highlands area near Crushblow where everyone is doing the Vulpera intro quest chain.
There as so many mobs to skin in such a small area that after about half an hour my BFA skinning level went from 5 to 150 and earned me 328 coarse leather and 68 tempest hides.
You don't even need to kill them, as there are so many players doing the quests to kill them. Just piles of corpses waiting to be skinned