Buy any maps you can get.
Keep the 'beastmen seals' (you'll learn about them later.)
You can sell the crystals you get from monsters at the auction house for easy starting gil.
Make sure to always get signet from the NPC in whichever nation you picked.
You'll be solo leveling til at least lv 10 (then you can party with people in the 'Valkurm Dunes' area.)
Starting new is quite annoying, and the leveling can seem to take along time. Once you get the hang of it, get some decent gear, and get your support job quest, the game gets much better.
Helpful sites:
http://www.ffxiah.com/ and
http://wiki.ffxiclopedia.org/wiki/Main_Page