These are grouped together because they are modded in EXACTLY the same method. My recommended supplies would be:
-JR Programmer or Nand-X
-Matrix V1 (without Oscillator)
This would allow you to do RGH 1.2 to any Falcon or Jasper 360 for nearly instant boot times. A coolrunner Rev C can be substituted for the Matrix if you prefer, there is no performance difference but the wiring is labeled a little different. Check out the Rev C product on my store for those details if you go that route.
There are two methods that I really like for Trinity:
S-RGH also commonly called Ace V3 with CR4 speedup method.
-Ace V3
-JR Programmer or Nand-X
Muffin CR4
-Matrix V1 (without oscillator)
-JR Programmer or Nand-X
The Muffin CR4 method on the Trinity is a little bit of an easier install as it requires fewer wires and doesn’t need the tiny R4D4 point which is hard to solder to.
The S-RGH method using the Ace V3 in my experience has a tiny bit of a boot time performance advantage, but it’s a more difficult install requiring better soldering skills.
-Ace V3
-JR Programmer or Nandx
-V3 and V5 require a postfix adapter (can use v1 or v2 postfix interchangeably)
The Ace V3 is a good chip for Coronas as it comes pre-programmed with a timing file for them already that works really well. Be sure to use my 'identify' guide to verify if you need a postfix adapter.
-SD Tool
-Ace V3
-Some (rare) V2’s and all V4’s and V6’s require a postfix adapter (can use postfix v1/v2 interchangeably)
The 4gb Coronas can be a bit of a pain to get to read and write the nand, but the SD tool is quite a bit cheaper than either a JR Programmer or a Nand-X so that's a bonus. You definitely want an Ace chip for a 4gb Corona though, since you won't be getting a Nand-X or JRP you won't have a way to program your glitch chip so you will need to have a pre-programmed chip such as the Ace.
For the purposes of simple RGH modding, everything a Nand-X can do a JRP can also do and vice versa. The JRP is a fair bit slower at reading nands, but you only do that during the mod and never again so the faster Nand-X isn't a huge advantage there. The Nand-x is a bit more robust and more reliable in my opinion. The JR PRogrammer does have the capability to do the "rater" feature if you are an advanced installer and know what that is or want to use it.
So bottom line - if you're only doing 1-2 consoles, get a JRP. If you're gonna do more where time savings would be valuble, get the Nand-X.