This is by all means not a definite order. But if you're going to follow one, you'll probably want to go this way.
CUL -> 15 (Hasty Touch)
GSM -> 15 (Manipulation)
ALC -> 15 (Tricks of the Trade)
You'll want to get CUL ->37 sooner than later. You'll get Steady Hand 2, which provides a 10% more success rate over Steady Hand 1. And going from a 70% success rate on hasty to 80% is a huuuuge jump.
Then you'll want
CRP -> 50 (Byregot's Blessing)
GSM -> 50 (Innovation)
WVR -> 50 (Careful Synthesis 2)
ALC -> 50 (Comfort Zone)
ARM -> 50 (Piece by Piece)
BSM -> 50 (Ingenuity 2)
LTW -> 50 (Waste Not 2)
CUL -> 50 (Reclaim)
If you want to level all your crafts up. Take advantage of XP boosting scrolls from 1-15 (Buy them at your GC). Once you hit 15 from sheer grinding start taking up Levequests and the Beast Tribe Dailies from the Ixali.
Caimie's guide is very good to learn from - http://ffxivrealm.com/guides/ff14-ad...ie-tsukino.39/
Don't forgot about gathering as well. Sometimes its good to be able to hop to a place, hit a node 3 times to get the stuff you need.
XI Wiki


