We had a great session with Christopher Ash on the Psalms last night. He used a framework (suggested by Augustine) as a lens through which to read the Psalms....
"Jesus is the one who sings the Psalms, and invites us as the Church to be the choir, singing along with him".
This helpfully gives us the context for how to think Christ-centredly about the Psalms, and enables us to pray them, even if some parts (hatred on enemies, cries of innocence, intense suffering) aren't our experiences.
Best wishes, Charlie.