If You Are Looking To Adopt A Pet, Then The Sullivan County, Bluff City And Kingsport Animal Shelter Is Offering Huge Discounts. Saturday Is National Clear The Shelters Day And The Sbk Has Reduced Adoption Fees By20 Dollars For Dogs And 15 Dollars For Cats. The Discount Applies To Both The Kingsport And Blountville Animal Shelters And Will Run Through Sunday.