That schematic posted above labeled "Thunderbird IV (or III?) 1974" is how I've wired my BaCH w/TB+ pickups. I've been very happy with it. Doesn't hurt to buy some different value parts and experiment, though!
Stew-mac sells the braided push-back cloth insulated wire. I love that stuff for these types of projects, since you can shield a lot of the circuit by soldering the braid to the pot enclosures. I've rewired my EB-2D, EB-0, Ampeg AEB-1, the BaCH, and Guild JS-II in this manner and never had any noise problems.
It may be hard to justify if this is just a one-time project, but a good soldering station makes such a huge difference. Something like a Weller WTCPT or Hakko 936 would be a great investment (I have the latter, and there are plenty of other options). They pop up used on Ebay - saves ya a few bucks. For solder, I've been using a spool of Kester 44 rosin core. Take the money you save paying for a tech's labor, and put it into some tools, bulk wire, etc... and the next time you have a project like this it'll cost you next to nothing. You can also build your own instrument/patch cables with these tools and save a bundle (I built a mother-lode of Canare/Neutrik cables for my home studio setup at an average cost of $4/ea.)
Also, another excellent vendor for parts is Small Bear Electronics in Brooklyn -
http://www.smallbearelec.com/StoreFront.bok They don't stock the CTS brand, unfortunately, but have all the other components that you'd need. I've dealt with Banzai before too, and they're great.
Good luck!!