Compline, along with Morning, Noonday, and Evening Prayer, teaches us how to pray and for what we should pray.
Compline is a perfect moment to close the day the same way it started: in doxological prayer. If Morning Prayer—or whatever service you use to begin your day—is designed to start the day off right then Compline is designed to end it well. Let Compline be limited to the saying of three psalms, which are to be said straightforwardly without antiphons, after which let there be the hymn of that hour, a lesson, a versicle, the Kyrie, and a blessing to conclude.