Thanks you guys! Turns out there's an Antiochian Church right in my area!

Also, how should one dress to attend the Divine Liturgy?
Dress conservatively, and respectfully.
Also, it depends on the parish. In my ROCOR parish, a nice dress shirt and trousers will do you just fine, while the Greek church i go to sometimes, anything less than a full suit will look out of place a little. A nice compromise I find, if i am ever unsure to dress, in any situation(church or otherwise) is what is called a business casual dress, which is a nice pair of trousers and a polo.
Remember though, most importantly, your dress should be to glorify God and not be distracting.