Braided Humber wire connectors?

So, I have a Collings SoCo 16LC, which is a ES-335 type semi-hollowbody guitar. As you probably know, changing out pickups and wiring harnesses in these type of guitars via the f-holes, is a real hassle. I want to change the humbuckers but I'm fine with the rest of the harness. The pickups both in the guitar and the ones I want to replace them with both have the shielded braided wire---ground in the outside shielding, hot in the interior push back wire--so, it seems I could somehow just cut the wire on the existing pickups and splice in the new ones? Even better, is there some way I can use some sort of connector by soldering the shield to ground and hot to hot on a male/female connector? Anyone know of a connector I can use?