Other-mindedness is looking for ways to help and serve others. Prayer is a tremendously effective way of helping and serving. Another insight into prayer is to study the prayers of the Bible. Both Colossians and Ephesians contain some wonderful insights into prayer. Many of the Psalms are prayers that give us insight into the nature and character of God.
Most study Bibles have some type of indexing to the prayers of the Bible.
It is helpful to keep a journal of your Bible study and prayer time. God's Word is inseparable from prayer. So much of what we need to pray for will be made known to us through study. Keep a record of answered prayer as an encouragement. But most of all be faithful in your commitment to pray.