Praise God for Who He is.  God's power is released through worship.
"As they began to sing and praise, the Lord set ambushes against [the enemy], and they were defeated" (2 Chronicles 20:22)

Make sure your heart is clean before God by giving the Holy Spirit time to show you any unconfessed sin.
"If I had cherished sin in my heart, the Lord would not have listened" (Psalm 66:18).
"Search me, O God, and know my heart; test me and know my anxious thoughts.  See if there is any offensive way in me, and lead me in the way everlasting" (Psalm 139:23-24).

Acknowledge that you can't pray effectively without the Holy Spirit's help.
"....the Spirit helps us in our weakness.  We do not know what we ought to pray for" (Romans 8:26b)

Deal aggressively with the enemy.  Come against him in the powerful name of Jesus and the sword of the Spirit, which is the Word of God.
"Submit yourselves, then, to God.  Resist the devil and he will flee from you" (James 4:7).

Die to your own thoughts, desires and burdens for what you think you should pray.
"....lean not on your own understanding" (Proverbs 3:5b); "He who trusts in his own mind is a fool" (Proverbs 28:26a RSV); "For my thoughts are not your thoughts" (Isaiah 55:8a).

Wait before God silently, listening for His direction.
"But my people would not listen to me; Israel would not submit to me.  So I gave them over to their stubborn hearts to follow their own devices.  If my people would but listen to me, if Israel would follow my ways" (Psalm 81:11-13); "For God alone my soul waits in silence, for my hope is from Him" (Psalm 62:5 RSV); "But as for me, I will look to the Lord, I will wait for the God of my salvation; my God will hear me" (Micah 7:7 RSV).

In obedience and faith you need to take action on what God brings to your mind.
"My sheep listen to my voice....and they follow me" (John 10:27); "I will instruct you and teach you in the way you should go; I will counsel you and watch over you" (Psalm 32:8).

Have your Bible with you in case God wants to give you direction or confirmation through His Word.
"Your Word is a lamp to my feet and a light for my path" (Psalm 119:105).

When God stops bringing things to your mind to pray about, finish by praising and thanking Him for what He has done.
"....from Him and through Him and to Him are all things.  To Him be the gory forever! Amen" (Romans 11:36).