3 somewhat different packs of strings, dilemma which to try where

(All identical 10-46 gauge)
Fender strat alder/maple/maple Hotrail & 2x CS69
70s Japanese Les Paul, fairly vintagey but with a maple board bolton
One of the shredders: Jackson RR3 *or* LTD Eclipse mod platform (China lockers, cheap roller bridge, passive Duncans) *or* ESP Eclipse FR actives (but then I kinda wanna keep 11-54s on it)
Any ideas about what to try where? Any rationale for why one of these would perform better in one specific case, but worse in another? Or just place wherever, write down what went where, and buy whichever string was most satisfying for the entire stable next time around?

(All identical 10-46 gauge)
Fender strat alder/maple/maple Hotrail & 2x CS69
70s Japanese Les Paul, fairly vintagey but with a maple board bolton
One of the shredders: Jackson RR3 *or* LTD Eclipse mod platform (China lockers, cheap roller bridge, passive Duncans) *or* ESP Eclipse FR actives (but then I kinda wanna keep 11-54s on it)
Any ideas about what to try where? Any rationale for why one of these would perform better in one specific case, but worse in another? Or just place wherever, write down what went where, and buy whichever string was most satisfying for the entire stable next time around?