Demolition of tile and stone, although messy, is a task which most homeowners with basic to medium do-it-yourself skills may be able to tackle with ease. After protecting the surrounding areas with drop cloths, use a mini crow bar to pull the stone and wire mesh backing directly away from the wall surface. As the stone surround starts to break away in sections, use wire snipers to remove any remnants of wire mesh. Due to the messiness, it's important to have wheel barrels and 5-gallon buckets nearby to help with the disposal of the stone.