All crafts to level 15. Then culinary to 37. Then it depends on how much money you want to spend. If you keep then all about the same level they can all use the same gear(except tools of course) and you don't have to purchase any item needed from other crafts can just make them yourself.

Skill wise(level 50s). you want Weaver or Carpenter 1st and 2nd. Weaver is a little less useful, when leveling other crafts since you already have a 100 progress skill(weaver level 15 skill). Then Goldsmith. Then Alchemist. That will give you all the skills needed to 100% HQ 2* gear with 340Craft(use food when doing the 40 Dur mats), 340Control and 373CP(Use food)