This is something that my wife and I have recently started to do. To give you a background, I am a Roman Catholic inquirer and she is a nominal Buddhist Japanese. First it started with reading on Saturday night the passages that would be the topic of the homily at the next day's Divine Liturgy, and then I started hitting the "greatest hits" of the Gospels such as certain parables and incidents. Recently, my wife remarked that she had never read any OT, so last night we started with Genesis 1. Of course, a different approach might be better for you two because you already have scriptural literacy.
The church calendar has daily suggested Bible readings, so why not start with that?