As soon as you get to the Dragon Isles, locate your skinning trainer up in the first area you reach, and update your skinning.
One of the very first quests is to kill a bunch of drakes and there will be dead drake bodies everywhere - its an absolute feast of leather collecting.
Imagine if you could only afford one (: I think I’ll keep my much loved LW/Skinners as they are, since one is my second ever toon. I’ll just sip me drink and motor on.