The discipline of silence will often accompany the discipline of solitude. You may be able to find quiet in the early morning or late at night. I find silence difficult because I feel I need to have worship music of some kind playing in order to pray, meditate on God, or study the Word. When I turn the music off and enter into silence, my mind begins to race with thousands of other things. Music has the power to focus our minds, but we need to learn the discipline of controlling our thoughts, taking them captive, and focusing on God in our own minds without outside assistance.
Willard suggests we "approach the practice of silence in a prayerful, experimental attitude, confident that we shall be led into its right use for us." I would recommend finding a quiet place with no disturbances or distractions and remain there for 15 or 30 minutes, whatever you can do. Take the time to ask the Holy Spirit for help. Submit yourself to his instruction. He will guide you in this or any of these disciplines. The skill to focus our mind on the Lord in these disciplines will take time and practice. The spiritual benefits will be well worth the effort.