You are in the right place here in terms of figuring out the what, but you're going to have to hit a few sites to actually collect everything you're going to need to "Jerry-fy" your strat. Good news is that an '84 should have the swimming pool rout already, so you're not going to have to do a ton of mods to accommodate the new pups.
The basics are:
Humbuckers: Dimarzio SD2's or vintage dualsounds (middle and bridge; debate on what to use as a single coil neck)
No piezo. Rosebud had a midi, but I would think it would be fairly problematic to fit it in a strat
Buffer for the OBEL circuit (Mike Wald, who is a very active member here, makes a good one, as does CAE)
9v battery to power the OBEL
25k volume pot
2 stereo output jacks (and you're going to have to fashion a plate to accommodate them in the existing strat jack opening)
DPDT switch for the OBEL, either more for the coil splits on the humbuckers or push-pull/push-push pots.
If you go the single coil neck/HB middle route you are probably cobbling together a 250k/500k tone knob, or compromising on a 300k one.
You should also peruse Wald's site, where there are Wolf and Tiger wiring diagrams.
Also, there have been some really good threads here on modding guitars.