I just viewed this excellent video on Youtube that discussed this exact problem. A very detailed and thorough explanation was given on the best way to brew with a French Press.
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Asher Yaron
All about coffee........."From the Cherry to the Cup". My experience with coffee has been a lifelong journey studying, experiencing, and practicing how to get the maximum amount of effect from this mystical, magical, sacred fruit. The coffee I am creating is medicinal quality and I, and others I turn on to it, are getting high off of it! Coffee is the most widely used psychoactive drug on the planet and is probably the least understood in terms of its effects on the human brain and body. I will try to de-mystify, de-bunk, and deliver logical and practical ways the average person can benefit most from coffee's special qualities.