This is where many well-intentioned efforts to read the Bible have crashed upon the rocks. Even in what seems tedious to us, there is a glimpse of God's purposes and nature.
An oft-repeated statement of God in Leviticus is "Be holy, as I am holy." God is very different from this world, and God is setting aside a people who will also be very different, who will be a reflection of God's holiness and righteousness. In the meanwhile, don't forget those original covenants to Abraham and Israel--this is not just an exclusive and quirky club, but their holiness in some way will bring blessing to the nations.
So, as you read, what does this book tell us about God's relationship with the people? What does it tell us about God's hope for how people relate to one another?
In Romans, Paul lays out the big picture of the Gospel: what it means for us and the world. We have died to our old selves and have risen to new life, anticipating God's deliverance of the whole creation. Our conduct is not driven by law, but by dying to sin, the new life, the guidance of the Spirit, and the hope of one day "being conformed to the image of the Son [Jesus Christ]" (Rom. 8:29).
So, what does that look like?
In 1 Corinthians, the framework for how we relate to the world, how the community of faith conducts itself, hits the road as Paul addresses the problems of this difficult community in Corinth. Paul writes that he knew nothing among them except Jesus Christ and him crucified (2:2). This does not mean that all Paul ever talked about was the crucifixion; it means that this is the fundamental framework for how their attitudes and actions should be shaped, according to a God who is willing to abdicate all privilege for the sake of loving others, as seen in Jesus Christ. As people who will ultimately reflect the God we worship, what does it mean to live "cross-shaped lives"? How do we abandon our honor, privilege, comfort, and advantages for the sake of others? As we read Paul's instructions, do so knowing that his understanding of Jesus' crucifixion is behind everything he says. Make the connections, see how the cross informs his statements on conflict, worship, money, lawsuits, sexuality, relating to society, etc