Pray that the Jesus Christ, the Son of God, will be with you and give you strength. Have an open heart and lay all your worries before God, He will be with you so have faith in Him.
I'd suggest converting at a supportive congregation that you trust and which embodies the holy spirit (has the fruits of the spirit). From there have faith that God will be the bulwark in your life against any hardships that might come. Your parents depending on who they are may seek to prosecute you, so having the support of your brothers and sisters in christ, and God on your side, should help you to withstand that storm when it comes. Know that the world may hate you because it hated Christ first. Its better to have lived a life of earnest faithfulness to God than to have lived a lie. It will be hard, your family might hate you, there will be hardship. Pull through, thousands of your brothers and sisters in christ have suffered worse hardships for loving God than familial excommunication. Things may get extreme or violent so be prepared to find an ex-muslim group or other places to find safety and shelter if it gets very bad.
Pray to God, find christians to pray for you, and have faith that God will be with you in all things. Trust in the Lord.
I hope this helped.
God be with you.
"Blessed are those who are persecuted because of righteousness, for theirs is the kingdom of heaven. Blessed are you when people insult you, persecute you and falsely say all kinds of evil against you because of me. Rejoice and be glad, because great is your reward in heaven, for in the same way they persecuted the prophets who were before you." - Matt 5:10-12