^As people have eluded, the devil is in the detail.
If you just want to swap it in for another humbucker, however, just do a straight swap, don't worry about coil splits or coil taps. Just wire hot where the old hot went, ground where the old ground went, tape off the end of the left over wire. Hopefully the other pickups will be the same phase, and you're golden. If not, and the sound is thin or wheezey in parallel with another pickup, reverse the wires on one, or the other, but not both.
If you want a basic coil tap, as I said above, the easiest way is with a push-pull (or push-push) pot or a separate DPDT mini switch. Whichever you use, select one bank of three connections on the switch part.
The wire to the switch or volume pot (copy your original wiring here) goes to the middle terminal.
The "hot" (full coil) wire from the pickup goes to the terminal nearest the pot part of a push-pull or push-push, either outer terminal on a separate DPDT switch.
The "warm" (coil tap) wire goes to the terminal nearest the shaft end.
This gives you push = full coil, pull = coil tap.
If you want the reverse, reverse the outer two connections on the push-pull or push-push.
If you're wanting something complicated, like auto tapping in P2 or P4 on a strat type, we need more details.