You'll have a lot more success trying to HQ items if you follow the pattern of advancing everything to 15 and then focusing on one to get the rest of the way to 50.
Ruskie already mentioned Alchemist's Tricks of the Trade skill that restores CP. Another useful one if you're having CP issues is Culinarian's Hasty Touch which allows you to boost quality without needing CP. (To balance that, it has only a 50% success rate, but when you can't otherwise make use of that step because you're running out of CP, that 50% chance is a lot better than none.) Though not as directly related to CP, a couple others I like and use a lot are Weaver's Careful Synthesis (nice to count on finishing off a recipe with a 100% success rate synth step) and Goldsmith's Manipulation or Leatherworker's Waste Not (both of which give you more steps by recovering durability or using up less of it).
Level 15 cross-class skills:
Alchemist: Tricks of the Trade - Restores 20 CP. Can only be used when condition is good.
Culinarian: Hasty Touch - Improves quality. Efficiency 100%, Success Rate 50%
Weaver: Careful Synthesis - Improves progress. Efficiency 90%, Success Rate 100%
Goldsmith: Manipulation - Restores 10 points of durability after each step for the next 3 steps. (88 CP cost)
Leatherworker: Waste Not - Reduces loss of durability by 50% for the next 4 steps. (56 CP cost)
Blacksmith: Ingenuity - Lowers recipe level to current level for the next 5 steps. (24 CP cost)
Carpenter: Rumination - Removes Inner Quiet effect and restores CP proportional to the number of times control was increased.
Armorer: Rapid Synthesis - Improves progress. Efficiency: 250%, Success Rate: 50%
Oh, and while they also get another cross-class skill at level 37, most of those aren't especially useful. The main exception to this is Culinarian:
Culinarian [37]: Steady Hand II - Improves action success rate by 30% for the next 5 steps (25 CP cost)
(And then there's another whole set of useful cross-class skills at 50, but that's a concern for much later, as it takes a long time to level everything that far.)
And for boosting your total CP, get good accessories and some CP boosting food. Or food that boosts Control is good too as you can get more Quality out of each Touch step that way. (So far, I haven't found Craftsmanship to be as much of an issue as Control and CP are, so I'd focus on those two unless you start having issues just completing the synth itself.)



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