There are 6 certification quests in all: Equipment: Clothier, Blacksmithing, and Woodworking given by Milenith at the Fighters Guild, and Consumable: Provisioning, Enchanting, and Alchemy given by Danel Telano at the Mage’s guild. If you are already level 10 in the craft you can ask them to certify you immediately, otherwise you will have to go through a few simple steps - go collect materials, craft this, deconstruct that, show them your work, and then they certify you - complete the quest and receive some little reward pertaining to the craft you were just certified for.

After this, you should be able to immediately go to the writ board and pick up writs for whichever crafts you have already been certified for. If you have done this and the writ boards aren’t offering you writs, try logging out and back in, or checking back the next day. If they still aren’t offering writs, then you should send in a bug report - and also keep checking back.

If you only want to do some of the crafting writs, you do not need to become certified in all of them, and can ignore the mention of still being able to teach you more. So, say you just want to do clothing and alchemy, just do the certification quests for those two, and then the writ boards should show you only those two writs are available.

You cannot pick up writs from boards in veteran zones of other factions - if your faction is Ebonheart Pact you would not be able to pick up wits in Elden Root or Sentinel for example once you reach those locations, you must return to your home faction cities. You can pick up any Level of writ from any city in your faction though, you don’t have to be in the same level zone as your crafting level.

You can find Danel Telano and Milenith in the main starter city of your faction: Daggerfall, Davon’s Watch, or Vulkhel Guard.

As Jayne said, level 6 is required. I had the same issue on an alt provisioner.