The best advice, noted above, is to visit as many churches as possible and narrow it down from there. Once you've settled on a preferred church, you usually join there and stick with it to develop relationships and participate in the communal life of the church. You can't be an Orthodox Christian all by yourself; you're a member of a family.
As far as the Eastern liturgy is concerned: the church has a cycle of fixed feasts that occur on the same date each year and moveable feasts, that are scheduled according to a lunar calendar, and vary. In addition, the choir chants the liturgy based on 8 "tones", or patterns of notes, starting with Tone 1 at the beginning of the liturgical year, September 1, and incrementing the next 7 weeks to Tone 8. Then, the pattern starts again and continues all year. So, liturgically, there are wheels within wheels. Some songs are sung on weeks 1-4 and some through weeks 5 - 8. A certain combination of chants may come around once every 10 years or twice in a lifetime. (My priest was thrilled last year to encounter a certain chant combination that he'd always wished for--after 12 years!) It requires several books of rubrics to sort this all out. So there is something slightly tentative about the service because the choir vacillates between singing the well-known works and flying by the seat of their pants. Obviously, the longer the chanters have been together, and the more musical knowledge they have, the better. (They didn't invent the word, byzantine, for nothing.)
I've been in the church for 6 years, and I'm only just beginning to understand what's going on. If you get the little red prayer book, you can read the words of the liturgy and see the main shape of the liturgy. It may help to make it understandable. That is what is always said. Anything else is in hopnor of a Saint, special occasion, or Feast.