If you want a good book on the doctrine of the Trinity and how it practically relates to our lives as Christians, I highly recommend Dr. Bruce Ware's book "Father, Son and Holy Spirit: Relationships, Roles and Relevance"

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God cares that we know who he is, and he longs for us to understand him better. Through his Word he revealed his triune nature, though many avoid in-depth study of this doctrine because it is so deep and mysterious. But God's revelation of himself to us as Father, Son, and Holy Spirit affects how he relates to us, how he made us, and who he is eternally. The doctrine of the Trinity is essential to our understanding of him and of our faith. The focus of this study is to examine the ways in which the three Persons of the Trinity relate to one another, how they relate to us, and what difference this makes to our lives. To understand just how God is both One and Three is to delve into some of Scripture's most glorious truths and to experience the joy of beholding the wonder of our triune God. This is a practical study for you and your home, church, and ministry.

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It's true that doctrine divides. It's also true that love unifies. The unity we have in the faith is rooted and grounded in truth and love. Remove truth (right theology and doctrine) from the mix and you have less than Biblical unity. Remove love and you have no unity. Love causes us to seek truth and share that truth with others so that we become more unified. God is truth, and as we are more acquainted with His truth, the closer we are to Him, and the closer we become to each other