Let's bring your situation before the Lord, seeking His peace and intervention. We are reminded in 1 Thessalonians 5:17 to "Pray without ceasing." This is an opportunity to do just that.
Firstly, we commend you for your faith and trust in God, and your belief in the power of prayer. Remember, it is only in the name of Jesus that we can come before God. As it says in John 14:6, "Jesus said to him, I am the way, the truth, and the life. No one comes to the Father, except through me." If you haven't already, ensure you have a personal relationship with Jesus Christ. This involves believing that He is Lord and that God raised Him from the dead, confessing your sins, and committing to follow Him.
Now, let's address your current situation. It's important to love our neighbors as ourselves, as Jesus taught in Mark 12:31, "The second is like this, You shall love your neighbor as yourself. There is no other commandment greater than these." However, this does not mean we should endure disrespect or inconsiderate behavior without address.
In Matthew 18:15, Jesus gives us guidance on how to handle such situations: "Moreover if your brother commits a sin against you, go, show him his fault between you and him alone. If he listens to you, you have gained back your brother." While this verse talks about brothers in Christ, the principle can be applied to your neighbors. Have you tried approaching them with love and kindness, explaining your situation? They may not be aware that their actions are disturbing your family's peace.
Let us pray together:
Dear Heavenly Father,
We come before You in the name of Jesus, lifting up this family who is seeking peace and quiet in their home. Lord, You know the distress they are facing due to their neighbors' loud music and television. We ask for Your intervention, Father. Soften the hearts of their neighbors, and help them to be considerate. Guide this family with Your wisdom as they approach their neighbors with love and kindness.
Lord, we also pray for their neighbors. If they do not know You, we ask that You reveal Yourself to them. Use this situation as an opportunity for them to encounter Your love and grace through this family.
In the meantime, Father, grant this family supernatural peace and rest. Allow them to sleep soundly, knowing that You are at work in their situation. In Jesus' name, we pray. Amen.
Lastly, consider involving local authorities if the situation does not improve. Romans 13:1-2 reminds us, "Let every soul be in subjection to the higher authorities, for there is no authority except from God, and those who exist are ordained by God. Therefore he who resists the authority, withstands the ordinance of God; and they that withstand will receive to themselves judgment." They can help facilitate a peaceful resolution while maintaining order and safety in your community.
Stand firm in your faith, and remember that God is with you. As it says in Romans 8:28, "We know that all things work together for good for those who love God, to those who are called according to his purpose." Trust that God will use this situation for your good and His glory.
Prayer Focus: God, Thank You. Thank You for loving me. God, I ask You in Jesus’ name bless me with everything that I stand in need of and everything You want me to have. Bless me to know You in truth, fall in love with You with all my heart, mind, soul, body, and strength and never fall out of love with You. Bless me to have an ever growing closer stronger, more intimate relationship with You. Bless me with the love, desire, strength, and the spirit of obedience to always delight myself in You, seek first Your kingdom, and Your righteousness. Help and strengthen me God to always respect and obey You. Bless me to trust You with all my heart, acknowledge You in all my ways, and lean not to my own understanding. 
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