Chapter 1 provides all the weapons, the gloves, and the hairstyle, so you can at least get the majority of items without having to level very far.

Chapter 2 provides the trousers or skirt.

Chapter 3 and 4 provide the boots and coat, but I haven't done these two yet, so can't tell you which is which. (I'm guessing boots for chapter 3 and coat for chapter 4.)

Oh, and although for chapter 1 it says "Required Level: 12 or above" anyone who didn't start the game in Limsa Lominsa will have to be 15 or above, because you'll need to complete the level 15 main storyline quest that unlocks travel to Limsa Lominsa.