Prayer isn't just rote recital nor is it limited to Sunday services. It is a crucial opening of ourselves to become receptive to God. God is speaking, so we need to set aside time to listen.

A daily practice of prayer is the cornerstone of a spiritual life.

The following sites have quite a bit of information about the basic lectionary and other information on the liturical life of the church:
The Daily Office

This is a short list of great websites for doing the Daily Office. Each has a different style and options but they all are based on the rubrics of the 1979 Book of Common Prayer of the Episcopal Church:
Forward Day by Day is a booklet of daily inspirational meditations reflecting on a specific Bible passage, chosen from the daily lectionary readings as listed in the Revised Common Lectionary or the Daily Office from the Episcopal Church's Book of Common Prayer.

Contemplative Prayer

These links can help you start a regular practice of contemplation:
Devotional Prayer

A more devotional yet potentially contemplative experience can be had using the ancient combination of prayer beads and verbal recitation: