Do I have to live in the inherited home to avoid reassessment under Prop 19?

Remember that it has to be the primary residence of the parent — not simply that you inherited it, and not any other home of the parent. In fact multiple children can inherit the primary home, as long as one of the children moves in, that will qualify.

If you do not move into the home, the property tax will go up. If you move out, the property tax will go up.