Your heart to pray as Jesus taught is a good and biblical desire, and your outline reflects the order He gave in Matthew 6:9-13.
That prayer is not meant to be repeated without thought, but to be a pattern that shapes how we pray. Taken slowly, phrase by phrase, it teaches us what to value and what to ask for. When it is prayed with understanding and earnest faith, it has great value, but simply repeating the words from memory does not in itself accomplish anything.
The first thing this pattern teaches is relationship. Scripture makes clear that we come to God as Father only through faith in Jesus Christ. Apart from being His child through the mercy shown at the cross, the one prayer God desires to hear is the cry for mercy as a sinner. Through Jesus shedding His blood, His death and resurrection, and the gift of the Holy Spirit, those who receive Him are given the right to become children of God and to call upon Him as Father with the confidence of a child. That relationship is the foundation for all prayer that follows.
The second thing it teaches is purpose. Prayer was never intended as a means to make God do our will on earth. Its primary thrust is that God's will and purpose be done. That is why the first petitions are for His name, His kingdom, and His will. To hallow His name is to desire that His character and all that He has revealed about Himself be honored in our thoughts, words and deeds, and not dishonored before the world. To pray Your kingdom come is to ask that His reign of righteousness, peace and joy be realized in us and through us, bearing the fruit of love, joy, peace, patience and kindness, and to long for that final day when Christ returns and His will is done on earth as it is in heaven. Scripture closes with that same longing for His coming. At present the will of man in rebellion is being done on earth, but we pray because we want to see God's will prevail. Through prayer we open the door for God to do what He already desires to do, for He does not force His will upon us against our willing hearts.
Only after these things does Jesus place our personal needs. Give us this day our daily bread teaches us to look to the Father each day for every need, spiritual as well as physical, emotional and material, trusting Him to provide so that we can love Him and love our neighbor with all that we have. Forgive us our debts as we forgive our debtors reminds us to confess our sins honestly before God, to receive His forgiveness, and to extend that same forgiveness to those who have sinned against us, praying for them and entrusting judgment to Him. Lead us not into temptation but deliver us from evil is a request for protection. God does not tempt anyone to evil or solicit us to sin, for He cannot be tempted by evil. Temptation comes as an enticement to turn aside from God's path for the promise of immediate fulfillment. We are asking that He would keep us from that solicitation, from the lies and deceptions of the evil one, and from falling into sin, and that He would deliver us and guard us.
The pattern then returns to where it began, to worship. For Yours is the kingdom and the power and the glory forever. Prayer begins with the awe of who God is, moves through intercession for His kingdom and petition for our needs, and ends again in worship, acknowledging that all rule, all power and all glory belong to Him forever.
As you continue to use this pattern, let each phrase become a thoughtful meditation rather than a hurried recitation. Seek first His kingdom and His righteousness, and trust Him to add what you need. He hears those who come to Him as Father through Jesus Christ, and He will answer according to His perfect will.