Consider. Usually we judge ourselves as to how we love God's word, submit to its teaching, and faithfully follow its commands; but here the psalmist is asking God to consider his love of God's precepts. Many times, when we judge ourselves, our judgment is not true, for we will many times make excuses for our lack of faithfulness or set for ourselves goals that are so much nearer to our earthly standards rather than the high standards of God and His word. The Hebrew word translated consider carries with it the idea of inspection. I am sure we do not need to ask the Lord to inspect our love for his word, but it is admirable that the psalmist here desires it to be sure his life is meeting God's expectation of believers in Christ.
Our love of God's word echos our love for God Himself. If we love God, we will love His word, and we will desire to do his commandments. John 14:15 If ye love me, keep my commandments.
Quicken. This word means "to make alive" or "to remain alive." The psalmist here is asking God to keep him alive, to continually quicken him, keeping his spiritual life acceptable unto God. Psalm 19:14 Let the words of my mouth, and the meditation of my heart, be acceptable in thy sight, O LORD, my strength, and my redeemer.
It takes the lovingkindness of God to retain our lives in his love, to keep us in his kingdom, to never let us fall away from his grace and his security. This Hebrew word KESED can also be translated faithfulness. Hebrews 10:23 Let us hold fast the profession of our faith without wavering; (for he is faithful that promised;)