I hope that you and your family are well and may Allaah continue to preserve you all upon goodness and truth ameen. May Allah bless you for allowing us to ask you what we do not know.
If we are beginning recitation of Quran in the middle of a Surah and the first word of the first ayah that I am beginning my recitation is a name of Allaah (e.g. ayatul kursiyy) then is it correct to recite al-basmalah in addition to al-istiaadhah? My hifdh teacher told me to do this but I want to be sure. May Allah reward you with goodness.
The Sunnah is to say Basmallah if you recite from the beginning of the Surah. Otherwise we just make Istiaza even if it starts with Allah’s name