I have a 68 Bronco 289, with a double crank pulley.
Do you also have a dual-groove water pump pulley? Most '68's would have had a single crank pulley, unless maybe it came with an air-injection pump for smog. But even then, they were driven off of a dual-groove alternator pulley usually (at least the ones I've seen) so it's possible the crank pulley is non-stock.
In which case it might be a crapshoot to match. But worth a shot anyway, in case it's one of the correct ones.
I'm adding a power steering box from a 76, and I have a Thompson and Saginaw pump to choose from.
Go with the Saginaw for sure! The old Thompsons are not up to the task of four-wheeling or turning larger tires (especially in hot weather) and are hard to find replacements for and might even be hard to have rebuilt. Not sure on that last score.
But the bottom line is that the typical "canned-ham" style Saginaw typically seen on GM cars and trucks is a better overall pump. And still available.
Does anyone know which PS Pump bracket I will need...
Depends on what you got with the pump, but all of us vendors sell (I believe) the proper brackets to adapt the pump to your engine. Even adapters to mate it all up to a 351 should you ever go that route.
...and which pulley I will use?
Only a pulley made for the individual pump will fit. And there are two sizes for the Saginaw. One more common than the other.
If you mean what water pump pulley, you'll need to get one that matches the depth/offset of the crank pulley, and hopefully also matches the alignment of the brackets. No way for use to know, given the plethora of Ford pullies available. But chances are decent it's a typical "bronco" offset.
If you mean groove from the existing pulley, you'll need a matching water pump pulley and the power steering typically utilizes the outer sheave/groove with the alternator getting the inner one.
You'll know right away of course, as they're the only ones that line up typically.
Given your description, it sounds like you'll be needing some additional stuff either way.
Paul