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Neti pots have been used for centuries in India and have been adopted more recently by the Western world.
Washing out the nose is called nasal irrigation and a mild solution of salt in water in used. The salt helps to shrink inflamed tissues and can help remove infection and this is one possibility to help stop snoring.
Some people may be wary of using them at first but there are plenty of videos available for demonstrating the use of a neti pot and once you see how they are used, you will agree it is very simple. Basically you bend your face over a sink and tilt your head to one side. Then insert the tip of the neti pot into the upper nostril and let the saline solution run gently into the nasal cavities. Provided you keep your head tilted forward, it will not run down your throat. Once the nasal passages have been washed out from one side, then tilt the head the other way and run the solution through the other nostril.