You don't really need to interact with the economy on your way from 1 to 50. By the time you are 50 if you haven't been spending wastefully or at all you will have a few hundred thousand Gil just from questing. At 50 you can just grind dungeons to gear up and ignore the economy if you desire. Essentially you don't NEED money at any given point in this game.
I think that starting on a new server is fine if you aren't joining a group of friends, you can experience the "new MMO smell" with everyone else all going in fresh and discovering it together instead of being with jaded and cynical veterans on an established server.
Of course you have about 470 new friends ready to go if you join GAF on Ultros so the decision is yours to make. This game has server transfers so you could start on a new server and see how you like it and transfer to a GAF server later too if you wanted.