I am in a very similar situation!
Go to the local orthodox church that is closest to you (regardless of what national variety it is) & explain that you're an unbaptized former atheist that would like to convert because you are (or are becoming?) convinced of christianity.
You'll have to attend for some time though, & remember that you're ultimately there for the sake of your eternal soul & God, not for the hanging out primarily
I would also recommend acquiring an orthodox prayer book & start reading the morning & evening prayers every day to get in the rhythm.
Thank you for the advice. Do you have any recommendations for a good prayer book?
One decision to make is what Orthodox tradition you want to follow (Eastern or Oriental), and within those traditions, what national church or specific rite you find most edifying.
I am just going to give you my opinion on some of the prayer books from different rites I have in ,y library:
I myself like the Coptic Agpeya on the OO side, and on the EO side, Praying With the Orthodox Tradition (which is actually not a traditional prayer book, but it has an illuminating forward by Metropolitan Kallistos Ware; the prayers in it are disused prayers taken from ancient Byzantine Rite manuscripts). Also, a very satisfactory approach to daily prayer comes in the form of A Psalter for Prayer, which is similiar to the Agpeya, but has all the Psalms from the Coverdale Psalter corrected against the Septuagint, whereas most English language Agpeyas use the KJV (even though the "official Bible" of the Coptic Church is essentially the late Bohairic Coptic translations of the Septuagint and the Greek New Testament). A Psalter for Prayer also features prayers to be said after the Psalms.
Volume 1 - Akathists, of the series Akathists, Canons, Odes and Other Services is very helpful for praying these beautiful Akathists. It has a larger collection than what is found in the Jordanville prayer book.
Lastly, you can go the route of a complete Horologion for the Eastern Orthodox tradition, which contains the entire Divine Office as would be served in parishes. The Unabbreviated Horologion by Holy Trinity Monastery (which also publishes the aforementioned Jordanville Prayerbook and A Psalter for Prayer) is the best of these, but also of interest is the Old Rite Horologion published by the Church of the Nativity; they also publish an Old Rite Prayerbook. These are particularly interesting because they contain the prayers and services of the Russian Orthodox Church before the Nikonian reforms and subsequent schism of the 17th century, which are still jsed by the so called Old Believers, as well as by the canonical Russian Orthodox Church in special parishes; the Old Rite is of interest because it represents a more ancient form of the liturgy, and is much longer and more intense than any of the other Eastern Orthodox rites; I think only the Ethiopian Orthodox tradition has services of comparable length and intensity.
My own Syriac Orthodox church has a beautiful prayerbook called the Shimo, which you can obtain an English translation of by Bede Griffiths, containing prayers for every day of the week except Sunday; this book is expensive however and the prayers are long. The website Syriac Orthodox Resources (http://sor.cua.edu
) hosts a translation of the highly abbreviated version more often used by the laity these days.
Lastly, the Antiochian Orthodox and the Russian Orthodox Church Outside Russia both have substantial Western Rite communities which have their own prayer books, which tend to reflect in the case of the Antiochians high church Anglican or Roman Catholic praxis corrected against Eastern Orthodox tradition, whereas in the latter, more of an attempt to recover the prayers and services of the Roman church before the Great Schism of 1054.