If you have two sinks, fill one with soapy water and one with rinse water. If you have one sink, gather all the washed dishes in the dish rack and rinse them with an inexpensive spray device. Put a stopper in the sink and fill the sink with clean water. This ends the wasteful practice of running tap water to cool it off for drinking. Your automatic washer uses 30 to 35 gallons of water in a cycle.
Most automatic washers have a water level regulator.
To save water, use the appropriate setting. There are many beautiful trees and plants that thrive in Texas with far less watering than other species. A layer of mulch will slow the evaporation of moisture. Using a hose to push around a few leaves and scraps of paper can waste hundreds and hundreds of gallons of water. Soap down your car with a pail of soapy water.