Water damage restoration comprises the complete procedure for water cleanup from beginning to end- (elimination of water, drying structures and items, and moving restored things back).
Water remediation is a term equal to water damage recovery. Water remediation contains the complete procedure for water cleanup, including water removal, moving items back, and then drying structures and items.

Water removal describes the action of removing water from the water-damaged areas. Professionals use specialized equipment like truck mounts to remove large amounts of air movers grade dehumidifiers, and water.

Water extraction means the exact same thing as water elimination. Specialized equipment to remove large amounts of water is used by professionals. Water extraction is the term selected if referring to extracting water in an environment that is outside.

Water reduction refers to the process of preventing or reversing damage caused by the amount of water in the building. So water reduction could be used to describe the water elimination and/or the water cleaning process.

Flood cleanup means water from outside has moved indoors. Flood water is considered contaminated and most people will need help in drying out the locations which were affected, sanitizing, and removing.