Complex sentence: On the one hand, recent legislation has meant that in cases over disputes of day-to-day care or parental relocation, the child's welfare and best interests supercede other considerations, like the parent's interests or rights.
Split into simpler sentences: On the one hand, recent legislation has meant that in cases over disputes of day-to-day care or parental relocation, a child's welfare and best interests are regarded as needing protection. Therefore, the rights of the child often supercede other considerations, like the parent's interests or rights.