Hey Salty Rick, welcome to the board!
As mentioned above, ways to reduce nitrates naturally include use of liverock, a deep sand bed, a refugium filled with macroalgae, and water changes (not necessarily in that order). If not sure how a DSB or refugium are setup, try doing a swf.com search for the info. It has been discussed/debated a lot.
Another way of tackling the problem is at the source end--nutrient supply to the tank. Overfeeding is a major contributor to high nitrates. Just make sure most of what you are feeding to your fish actually gets ingested by your fish. Also, if your fish are fat, they could stand to not be fed as much. Fatter fish excrete more, and produce more nitrates in the end.
Good luck,
sam