Sweet. So I can just wire in new connectors, just make sure their done properly?
Yes.
You can use a straight pin to release each wire's metal endpiece from the old connector. Be gentle, and you usually have to get all three wires loose before you start to pull any one of them out of the old connector. It's sometimes a bit frustrating. And your new connector won't necessarily take those old metal endpieces very securely. They may not fit exactly. So you may have to replace them. But the old servos will work as good as they used to, and that's pretty good usually.
Servo technology has improved over the years, and the older servos are sometimes heavier and slower than what's available nowadays. But they're free, right. And most Airtronics servos were high quality and worth saving. I've got a bunch of them in use, although I finally bought a crimping tool after having a number of the reworked original connectors give trouble.