The typical cost of South Orange chimney sweeping that involves the fireplace is estimated to be around $70 to $200. Cleaning a freestanding wood burning stove that has liners can cost from $100 up to $200. On the other hand, cleaning of wood burning stove inserts with liners can cost a homeowner $100 to $150. Additional services that can add to the cost of chimney sweeping are the pulling out of stove inserts that do not have liners that run to the top of the chimney which can cost an extra $40 to $50 and when the chimney sweeping specialist needs to utilize a camera inspection during cleaning that costs $127 to $892.