GREETINGS IN THE NAME OF THE LORD JESUS CHRIST....
What about our lives and words "hallows" the name of the Father? We are representatives (Ambassadors)of the Lord Jesus Christ and we are to display at all times His characteristics which are love, joy, peace, longsuffering, gentleness, goodness, meekness, faithfulness and self-control. We are to present the Gospel in love.
What desecrates and besmirches it? By living sinful lives. He is Holy and we are to be Holy because we are made in HIs image.
How should we "hallow" the Father when we begin to pray? We are to approach the Father with great referance and humbliness of heart with thanksgiving and respect for how great He is and HIs holiness.