I recommend all crafts to 15, then Culinarian to at least 37, then Carpenter to 50, then Weaver to 50. Steady Hand II, Byergot's Blessing, and Careful Synthesis II are all key skills for crafting HQ gear, and there are many level 15 skills that assist in this as well (Tricks of the Trade and Hasty Touch being the biggest, though Manipulation has its place as well).

If you craft mostly HQ items while you level you'll both level faster (by turning in HQ items for leves and Grand Company provisioning) and make a ton of gil (by selling HQ items on the Marketboards) to pay for materia later.