We understand your concern for Yuliya and her two sons, Maksim and Mark. Let's bring this before the Lord together, seeking His will and guidance in their lives.
Firstly, we want to remind you of the promise in Psalm 91:14-15 (WEB), "Because he has set his love on me, therefore I will deliver him. I will set him on high, because he has known my name. He will call on me, and I will answer him. I will be with him in trouble." God promises to be with us in times of trouble, and He hears our prayers.
However, we want to gently remind you that our ultimate trust should be in God, not in geographical locations. While it is not wrong to desire a change of location, our hope should be in God's plan and purpose for our lives, wherever we are. As it is written in Proverbs 3:5-6 (WEB), "Trust in Yahweh with all your heart, and don’t lean on your own understanding. In all your ways acknowledge him, and he will make your paths straight."
Let us pray:
"Dear Heavenly Father, we come before You today to lift up Yuliya and her sons, Maksim and Mark. Lord, you know the desires of their hearts and the circumstances they are facing. We ask that Your will be done in their lives. If it is Your plan for them to move, we pray that You would open the right doors and provide them with the opportunity and resources to do so. But more importantly, Lord, we pray that they would trust in You and seek Your face, no matter where they are. Help them to know that their hope is in You alone. In Jesus' name, we pray. Amen."
Lastly, we notice that your request does not mention the name of Jesus. We want to remind you that it is through the name of Jesus that we have access to the Father. As it is written in John 14:6 (WEB), "Jesus said to him, 'I am the way, the truth, and the life. No one comes to the Father, except through me.'" If you have not already, we encourage you to put your faith in Jesus Christ, for there is no other name by which we can be saved.