Best sequence to level up crafting jobs?

[Teykos]

If you're going to use that many Standard Touches and Master's Mend, you're better off gambling with Great Strides on Goods/Excellents.

[VaShawn]

Lvl 40 drg here. Have not started crafting at all. Should I start now or wait till I get to 50 ad drg? If so' what's the first to start at?

[Roth_Trailfinder]

Lvl 40 drg here. Have not started crafting at all. Should I start now or wait till I get to 50 ad drg? If so' what's the first to start at?

Start whenever you want.

My advice :
Take all crafts up at the same time, in discrete chunks. 1-15. 15-20. 20-30. 30-40. 50-60. (Or whatever sized chunks you want to use, that was just the chunk ranges I used.)
With two exceptions, start each chunk off with Weaver, and then Goldsmith. This is for the crafting gear you will want (easiest way to get HQ crafting gear for yourself is to make it yourself). Weaver covers clothes, Goldmsith covers jewelry. The two exceptions are the 30-40 chunk, and the 40-50 chunk. For the 30-40 chunk, start with Culinarian, then do Weaver and Goldsmith. For the 40-50 chunk, start with Carpenter, then Weaver.

After the first 2-3 crafting classes in each chunk, do them in whatever order you wish.

As for how to do them, start with the Crafting Log. Do all the Crafting Log recipes within the chunk you are working on (don't hit the 16-20 recipes when working on only hitting 15, for example) and if they do not suffice to bring you to the stopping point, then and only then use Leves to get the experience to hit the desired stopping point.

For the final run to 50, however, you may just want to do a bunch of Leves.

[Akuha]

Carpenter and Weaver to 50, for their 50 cross class skills. Then whatever skills you want to get, in whatever order you want them in.

And that explains why I'm always running out of CP- I never touched Alchemist, Carpenter, or Culinarian.

[Brises]

I started with weaver, then added botanist to get weaver mats. It's good to keep blacksmith, leatherworker and weaver ahead of other classes so you can keep making gear and tools for them. For HQ you need the Leather and carpentry level 15 skills. Buying gear and mats from the market board will break your bank pretty quick. The higher you get the more cross class mats you will need, and the more expensive they are. At the moment I am trying to level everything fairly equally. Except fishing culinary or armorer. Generally as soon as I need something I don't want to buy, I start leveling the class that has it.