There are 3 different types of crafting quests.
Crafting Progression Quests
These are offered by any of the various Masters of Apprentices/Mistresses of Apprentices located throughout Middle-earth. They are based on vocation as well as profession. Each progression level offers a deed. Tier 1 deeds require each "Introduction to <Profession>" quest in the player's vocation. These Introduction quests correspond with Apprentice level crafting skills.
These are instances specifically designed to allow gathering crafting materials. The ones in Moria have a 3-day cooldown until each instance resets, and the ones in Hytbold have a 24-hour cooldown until each instance resets.
Using Your Skills
These quests seem to have been designed to encourage players to start crafting, and to demonstrate the basics of crafting interdependency. The items required and rewarded are all Tier 1 items. Most are level 10, although the Bree ones are 15, as is the odd one near the Forsaken Inn; one is listed as level 6. In practice any level character can do them.
To help in planning if you wish to do these quests:
Abridged Item List to Complete the Above Quests
x2 Pie Crust
x1 Rowan Hammer
x1 Bronze Helm
x1 Bronze Axe
x4 Bronze Blade
(In Update 2, the Crafting Progression Quests replaced the previously used stepping-stone profession specific quests (i.e. The Path to Learning, Part I ; The Heart of the Wood, Part IV), which are no longer available.)