Further progress will be delayed a week or so.
I got all the components laid out on a table, figured out what would connect to what, how many of what crimpy things I needed and where, places I would need to strip wire ends, crimp terminals on, and the like.
Tested the relay by hooking up its "signal" terminals (where you apply +12V to turn on the power) to a 12V power supply (wall wart). Click. Did it again a few times for fun. Click click click. Neat!
(Safety mention: I do NOT recommend doing this by touching the relay's wire ends to your battery terminals directly.
I considered that, but realized I would be creating a short circuit. With likely spectaular results.
The 12V wall wart only supplies up to a few amps, no matter what you plug it into. Much safer for testing things 12V.)
Then I tried to do a butt splice crimp, using my shiny new Klein Tools 3005CR:
homedepot.com/p/Klein-Tools-Ratcheting-Crimper-3005CR/306884697
and some heat shrink butt splice connectors. They're the kind with the rubbery shell, and glue inside. Do the crimp, hit 'em with a heat gun, the covering shrinks, glue oozes, and seals up the whole thing. I love these for all kinds of projects. Here's the type I mean:
Gardner Bender 22-10 AWG Butt Splice Heat Shrink, Assortment (24-Pack) GBX-TK - The Home Depot
Guess what, that crimper is totally useless with these connectors. It doesn't squeeze far enough, so the crimp is very loose, and the wires easily slip out.
I got better results using my old, pain in the butt stripper/crimper tool, which is similar to this:
IDEAL Crimper, 10-22 Awg Solid, 10-22 Awg Stranded in the Wire Strippers, Crimpers & Cutters department at Lowes.com
Reading some reviews, I learned that the Klein 3005CR only works with terminals and butt splicers having a hard plastic shell. That is, the ones that are insulated, but not weatherproof or heat-shrink.
Would have been nice if it said that on the package.
A ratcheting crimper that does work with heat shrink connectors is on order, along with some new 10-12 ga butt splicers. I only had a handful of 10-12 ga butt splicers, and ruined a few trying to get the Klein tool to work.