Moogle I believe is on the EU data center. Faerie and Cactuar are on one of the two NA data centers. I'd also recommend Leviathan if you want to take a look at it. We have a nice LS set up to help teach and level new players there. The server also seems to be very well populated, although there are one or two off-times.

Also, to select a different data center, there should be an option after you login. When the game accepts your login and starts up, you should see four choices: Start, data center, configuration, and exit game. Normally, you would select "start" and it gives you your character list and a list of 6 to 8 servers on your data center. You can change the data center by using the second choice, "data center" instead of directly going to "start". Take a look and try it out. Also, if you are worried about latency, all servers are located in Montreal, Canada. Even the EU data center is there, so I shouldn't expect too much change in latency. Feel free to doublecheck and make sure I'm wrong though as I've never been able to properly test that theory myself.