Good for you folks for looking for a LS early. I think it's hugely helpful to get involved with a LS as quickly as possible.

Like Frisque said, it's often helpful to check out the forums for your server. Lots of linkshells post "advertisements" in those forums. You can read about the linkshells, and then decide which one you want to join. There are similar forums for each server on the Zam and Eorzeapedia sites, which you can check out.

Another option is just to join people on behests and leves. Having fun with other players is a good way to get invited to their linkshell. I've been fortunate enough to join a couple of linkshells that way.

Good luck!