If you wanted a class to focus on first, I'd recommend Culinarian, followed by Weaver.

Hasty Touch and Steady Hand II from Culinarian are staple skills in many crafting work flows.

Careful Synthesis II from Weaver is a 100% success rate, 0 CP cost progress action which is extremely helpful in planning out your workflow for a synth.

Just these three skills will make it much easier to complete synths and even get HQ procs for the rest of your leveling.