Check NPC vendors for your low level gear. I believe there's one close to where you turn in that quest.

Aethernets in Ulda and Gridania are a bit confusing. limsa Lominsa is a bit more obvious. Other than looking at your map there no way to tell. But after spending enough time in the city of your choice you'll start to memorize them.

Also when you get to level 10 pickup a gathering and maybe a crafting class. Crafting can save/make you a lot of money.

I've only been playing for a month so the confusion is still fresh in my mind. Once you get a grasp of of things the game really flows.

Oh and try to stay up to date on your main quest. It will guide you to zones and help keep you geared.