Deeper spirituality through personal prayer, familial conversation with God.  15 minutes or so a day, perhaps jump-started with that day's Gospel passage. 

Deeper spirituality through a daily examination of conscience, done in the presence of God, reconciling our intellect, with our will, with our appetites and body. 

Deeper spirituality through reading 5 minutes of the New Testament every day, putting your self into the "scene" of each passage, becoming one more character in the scene. 

Deeper spirituality by meditating on the Passion of Jesus Christ, perhaps using a good set of meditations of the Stations of the Cross.

Deeper spirituality by re-living the life of Jesus Christ from the perspective of His Mother, Mary, using the Rosary.

Deeper spirituality by a good Confession, prepared, sincere, abandoning, with great trust and faith. 

Deeper spirituality by going to Mass more frequently, and putting more love into our participation at Mass.