Complex sentence: Because of her father's professional status, he was granted the right to live outside the Pale of Settlement, and the family moved often; shortly after Liza's birth, they moved to Łódź, where she spent most of her childhood.
Split into simpler sentences: Because of her father's status, he was granted the right to live outside the Pale of Settlement, and the family moved quite often. Just after Liza's birth, they moved to Łódź, where she spent most of her childhood.