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Pimmit Hills The Pimmit Hills Citizens Association PHCA The Pimmit Hills Neighborhood in Tysons Corner Virginia Welcome To Our Neighborhood. Pimmit Hills founded in 1950 is located next to the Tysons Corner area in Virginia and is one of the largest communities in Fairfax County with over 1640 homes. Learn more In March 1951 60 Pimmit Hills residents got together to organize the Pimmit Hills Citizens Association PHCA and state its mission which is still true today The Associations activities are nonpartisan nonsectarian and nonpolitical. Its purpose is to promote develop and improve the general welfare of the Pimmit Hills community.