Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
It is permissible for converts to hide their conversion to Islam. In some cases, it is even encouraged to hide their Islam when conversion to Islam will cause harm to them.
Answering your question, Sheikh Mustafa Umar, President of California Islamic University, states:
Welcome to Islam
First, we would like to welcome you to the fold of Islam. May Allah the Almighty help you pass this transition period successfully.
Try to find a nearby Islamic center or a mosque to get to know the Muslim community in your neighborhood who will help you observe the rituals of Islam.
It is permissible for converts to hide their conversion to Islam. In some cases, it is even encouraged to hide their Islam. This is when conversion to Islam will cause harm to them, especially in the beginning where they are getting accustomed to being a Muslim.
Challenges of Conversion to Islam
There are enough challenges when it comes to adopting Islam. So make it easier for yourself by not telling your family right now.
You can tell your family about your decision of conversion to Islam later when you are more independent and stronger in your faith.
We pray to Allah the Almighty to accept your good deeds.
For more, see these fatwas:
Is It Necessary to Change Name after Converting to Islam?
Conversion Just to Get Married: Accepted?
Almighty Allah knows best.