Rinse your razor in the sink. Before shaving, partially fill your sink with a few inches of warm water. This will rinse your blade just as efficiently as running water, and far less wastefully. Check faucets and pipes for leaks. Even the smallest drip from a worn washer can waste 50 or more gallons of water a day.
Larger leaks can waste hundreds.
Use your automatic dishwasher only for full loads. Every time you run your dishwasher, you use about 25 gallons of water. If you wash dishes by hand, don't leave the water running for rinsing. If you have two sinks, fill one with soapy water and one with rinse water. If you have but one sink, gather all the washed dishes in the dish rack and rinse them with an inexpensive spray device.