Prayer is the service of the heart, and is one of the many ways that love of G-d is expressed.
Although one may pray in private, traditionally praying with a congregation has always been preferable. Every effort to join a congregation in prayer should be made.
Many pray while swaying back and forth. This is a traditional aspect of Jewish prayer which has mystical origins and significance. One interpretation is that during prayer, the soul is considered to be attempting to connect with the Divine source and is compared to the flame of a candle, which flickers back and forth as it reaches upward. Another interpretation is that we should involve our entire being in the prayer experience.