“How thankful we ought to be ... how thankful we are, for a prophet to counsel us in words of divine wisdom as we walk our paths in these complex and difficult times. The solid assurance we carry in our hearts, the conviction that God will make his will known to his children through his recognized servant is the real basis of our faith and activity. We either have a prophet or we have nothing: and having a prophet, we have everything” (Teachings of Gordon B. Hinckley, pgs. 499–500).

Personal Revelation

(1) "Impressions of the Spirit can come in response to urgent prayer or unsolicited when needed. Sometimes the Lord reveals truth to you when you are not actively seeking it, such as when you are in danger and do not know it. However, the Lord will not force you to learn. You must exercise your agency to authorize the Spirit to teach you. As you make this a practice in your life, you will be more perceptive to the feelings that come with spiritual guidance. Then, when that guidance comes, sometimes when you least expect it, you will recognize it more easily.
(Elder Richard G. Scott, To Acquire Spiritual Guidance, Ensign, Nov 2009)

(2) "One must be ever mentally and physically clean and have purity of intent so that the Lord can inspire. One who is obedient to His commandments is trusted of the Lord. That individual has access to His inspiration to know what to do and, as needed, the divine power to do it.
For spirituality to grow stronger and more available, it must be planted in a righteous environment. Haughtiness, pride, and conceit are like stony ground that will never produce spiritual fruit.
Humility is a fertile soil where spirituality grows and produces the fruit of inspiration to know what to do. It gives access to divine power to accomplish what must be done." 
(Elder Richard G. Scott, How to Obtain Revelation and Inspiration, General Conference, April 2012)

(3) "Revelation comes on the Lord’s timetable, which often means we must move forward in faith, even though we haven’t received all the answers we desire."
(Robert D. Hales, Personal Revelation: The Teachings and Examples of the Prophets, General Conference, Oct 2007)
http://www.lds.org/general-conference/2007/10/personal-revelation-the-teachings-and-examples-of-the-prophets?lang=eng

(4) "The spirit of revelation is available to every person who receives by proper priesthood authority the saving ordinances of baptism by immersion for the remission of sins and the laying on of hands for the gift of the Holy Ghost—and who is acting in faith to fulfill the priesthood injunction to “receive the Holy Ghost.” This blessing is not restricted to the presiding authorities of the Church; rather, it belongs to and should be operative in the life of every man, woman, and child who reaches the age of accountability and enters into sacred covenants. Sincere desire and worthiness invite the spirit of revelation into our lives."
(Elder David A. Bednar, The Spirit of Revelation, General Conferenc, April 2011)

(5) "The Lord reveals His will through dreams and visions, visitations, through angels, through His own voice, and through the voice of His servants. “Whether by mine own voice,” He said, “or by the voice of my servants, it is the same.”
The Lord’s house is a house of order. The Prophet Joseph Smith taught that “it is contrary to the economy of God for any member of the Church, or any one [else], to receive instruction for those in authority, higher than themselves.” 
"You may receive revelation individually, as a parent for your family, or for those for whom you are responsible as a leader or teacher, having been properly called and set apart." 
(Boyd K. Packer, Personal Revelation: The Gift,the Test, and the Promise, General Conference, Oct 1994) 

(6) "Personal revelation is the way we know for ourselves the most important truths of our existence: the living reality of God, our Eternal Father, and His Son, Jesus Christ; the truthfulness of the restored gospel; and God’s purpose and direction for us."
"Personal revelation is the way Heavenly Father helps us know Him and His Son, learn and live the gospel, endure to the end in righteousness, and qualify for eternal life—to return back into Their presence."
(Robert D. Hales, Personal Revelation: The Teachings and Examples of the Prophets, General Conference, Oct 2007)

(7) "We each have moments of spiritual power, moments of inspiration and revelation. We must sink them deep into the chambers of our souls. As we do, we prepare our spiritual home storage for moments of personal difficulty." (Elder Neil L. Andersen, You Know Enough, General Conference, Oct 2008) 

(8) "You can learn vitally important things by what you hear and see and especially by what you feel, as prompted by the Holy Ghost. Most individuals limit their learning primarily to what they hear or what they read. Be wise. Develop the skill of learning by what you see and particularly by what the Holy Ghost prompts you to feel. Consciously seek to learn by what you see and feel, and your capacity to do so will expand through consistent practice. Ask in faith for such help. Live to be worthy of it. Seek to recognize it. Write down in a secure place the important things you learn from the Spirit. You will find that as you write down precious impressions, often more will come. Also, the knowledge you gain will be available throughout your life. Always, day or night, wherever you are, whatever you are doing, seek to recognize and respond to the direction of the Spirit. Express gratitude for the help received and obey it. This practice will reinforce your capacity to learn by the Spirit. It will permit the Lord to guide your life and to enrich the use of every other capacity latent in your being."
(Elder Richard G. Scott, To Acquire Knowledge and the Strength to Use it Wisely, BYU Devotional, Jan 2001)

(9) "We do not always receive inspiration or revelation when we request it. Sometimes we are delayed in the receipt of revelation, and sometimes we are left to our own judgment. We cannot force spiritual things. It must be so. Our life’s purpose to obtain experience and to develop faith would be frustrated if our Heavenly Father directed us in every act, even in every important act. We must make decisions and experience the consequences in order to develop self-reliance and faith.
Even in decisions we think very important, we sometimes receive no answer to our prayers. This does not mean that our prayers have not been heard. It means only that we have prayed about a decision that, for one reason or another, we should make without guidance by revelation. Perhaps we have asked for guidance in choosing between alternatives that are equally acceptable or equally unacceptable.
Similarly, the Spirit of the Lord is not likely to give us revelations on matters that are trivial.
If a matter appears of little or no consequence, we should proceed on the basis of our own judgment. If the choice is important for reasons unknown to us, the Lord will intervene and give us guidance. Where we are living in tune with the Spirit and seeking its guidance, we can be sure that we will receive the guidance we need to attain our goal. The Lord will not leave us unassisted when a choice is important to our eternal welfare." 
(Elder Dalin H. Oaks, Eight Ways God C Speak to You, BYU Devotional, Sep 1981)  

(10) "In our learning, let us not neglect the fountain of revelation. The scriptures and the words of modern-day apostles and prophets are the sources of wisdom, divine knowledge, and personal revelation to help us find answers to all the challenges in life. Let us learn of Christ; let us seek out that knowledge which leads to peace and truth."  
(Pres Dieter F. Uchtdorf, Learn!, General Conference,Oct 2009)