There is a difference between public and private prayer. When we pray in private, we talk with the Lord about all things that are important to us. We repent of our sins. We ask for specific guidance and revelation for ourselves. We speak of ourselves in the singular form: I thank Thee . . . Please guide me . . . Help my family, etc. When we pray in public, especially in a Priesthood meeting or other Church function, our prayers are slightly different. We are speaking for the group, not only for ourselves individually. Thus, it would not generally be appropriate to say, "Bless my cat Samson that his tumors will get better." Samson may be important to you individually, and you may certainly talk with God about him in your personal prayers. But a public prayer is concerned with the things of the group for which you are acting as voice. Perhaps in the setting of a Teacher's Quorum, you would express gratitude for the Atonement of Christ, for the restoration of the Gospel through Joseph Smith, and for a living Prophet. You might also give thanks for the lessons that have been taught there. You may ask for the Lord to help the Quorum to live by the principles you have learned that day. Essentially, you need to remember why you are in the meeting. It is a meeting of the Priesthood of God. If you are in the mindset and spirit of such a gathering, you will naturally pray for those of your quorum who are less active. You will naturally pray for those over whom your quorum has stewardship. You will naturally give thanks for the blessings of the restored Gospel. Be more concerned about who you are becoming than you are about the words you are saying in prayer. Then the right words will come, because they will be given by the Holy Ghost.