The first thing I would do is pray. Pray that God will give you the will and desire to read the Holy Bible. But also, and this is just as important, IMO- pray that you will understand what you read (if you come to a verse you don't understand, see what the Fathers/Mothers had to say about it and ask your priest). The second thing you might do is read from the day's Lectionary. The OCA, GOC, and Antiochian websites all have the day's verses listed. Two things that I do, in addition to the Lectionary is 1) I read a chapter from Proverbs every morning. Since today is the 3rd, I read Proverbs chapt. 3. On Wednesdays and Fridays (the weekly fasting days) I also read the book of St. James. Also, reading a little from the Gospels is always recommended. Just start out slowly; don't take on too much at once.
However you approach it, I encourage you to do so prayerfully.