Becoming Muslim should make you a better son or daughter, not a stranger at home. The Qur'an commands kindness to parents even when they do not share your faith; you simply do not obey them in disobeying Allah.
Asma' bint Abi Bakr asked whether to keep ties with her mother, who was not Muslim and came hoping for her kindness. He said: “Yes, keep good ties with your mother.” — Asked who most deserves good companionship, he said: “Your mother” three times, then “your father.”
Source — Qur'an
وَإِن جَـٰهَدَاكَ عَلَىٰٓ أَن تُشْرِكَ بِى مَا لَيْسَ لَكَ بِهِۦ عِلْمٌ فَلَا تُطِعْهُمَا ۖ وَصَاحِبْهُمَا فِى ٱلدُّنْيَا مَعْرُوفًا ۖ وَٱتَّبِعْ سَبِيلَ مَنْ أَنَابَ إِلَىَّ ۚ ثُمَّ إِلَىَّ مَرْجِعُكُمْ فَأُنَبِّئُكُم بِمَا كُنتُمْ تَعْمَلُونَ ﴿١٥﴾
“But if they endeavor to make you associate with Me that of which you have no knowledge, do not obey them but accompany them in [this] world with appropriate kindness and follow the way of those who turn back to Me [in repentance]. Then to Me will be your return, and I will inform you about what you used to do.”
۞ وَقَضَىٰ رَبُّكَ أَلَّا تَعْبُدُوٓا۟ إِلَّآ إِيَّاهُ وَبِٱلْوَٰلِدَيْنِ إِحْسَـٰنًا ۚ إِمَّا يَبْلُغَنَّ عِندَكَ ٱلْكِبَرَ أَحَدُهُمَآ أَوْ كِلَاهُمَا فَلَا تَقُل لَّهُمَآ أُفٍّ وَلَا تَنْهَرْهُمَا وَقُل لَّهُمَا قَوْلًا كَرِيمًا ﴿٢٣﴾
“And your Lord has decreed that you worship not except Him, and to parents, good treatment. Whether one or both of them reach old age [while] with you, say not to them [so much as], "uff," and do not repel them but speak to them a noble word.”
لَّا يَنْهَىٰكُمُ ٱللَّهُ عَنِ ٱلَّذِينَ لَمْ يُقَـٰتِلُوكُمْ فِى ٱلدِّينِ وَلَمْ يُخْرِجُوكُم مِّن دِيَـٰرِكُمْ أَن تَبَرُّوهُمْ وَتُقْسِطُوٓا۟ إِلَيْهِمْ ۚ إِنَّ ٱللَّهَ يُحِبُّ ٱلْمُقْسِطِينَ ﴿٨﴾
“Allāh does not forbid you from those who do not fight you because of religion and do not expel you from your homes - from being righteous toward them and acting justly toward them. Indeed, Allāh loves those who act justly.”
