well i don't know where to get hold of new pick up wire so i just rewound mine usin the old stuf, you have to be really careful it doesn't break though, it's very fragile and if you use too much tension the wire snaps.
when you open up the pickup they usually have ribbon or tape around them, under the first layer there are the start and finish of the coil soldered to a wire each.
on the screw coil for example the start is wired to the live wire that then goes to volume or switch etc. the finish is wired to the start of the slug coil start.
under the wires connecting the pup to external sources there are more layers of tape/ribbon, under here is the pickup wire,once you have unsoldered the connecting wires you can start to unwind the coils.
if you have new wire to put on then you can just pull the old stuff off no problem.
however if you are reusing the old wire, which i don't advise, you have to very carefully remove it with out snapping it, which is difficult as the waxpotting binds the wire together. once you get to the start you can begin to rewind.
the problem i have is getting the wind nice and tight to fit all the wire back on the coil, i find it balloons out in the middle.
no doubt this is because i'm inexperienced and generally not very good at it.
it takes massive amounts of time because it's all by hand, as you can imagine i don't have a machine that allows me to just wind the pup in a few hours,it's not something you see everyday......well not that i know of any way.
each coil takes me about ten hours to unwind and rewind, but obviously it depends on how many turns there are in the first place.