This is one way of many to make a pickup winder. Take a cheap wood lathe and put a counter on it. The sky is the limit with possibilities. Add a stepper and sync it to the winder to control the wraps, etc,etc etc. It takes a little practice but it works. Practice with string and then use wire. If you are new to this you can burn through some serious cash pretty quickly making wire mouse nests!
A Pickup Winder