From clothing: Act as quickly as possible using a cleaning solution of either one teaspoon detergent, one teaspoon white vinegar, and a quart water; a quarter-cup baking soda with two cups cold water; or one part white vinegar with three parts water. Blot onto the stain with a clean cloth, and repeat until the stain disappears. Wash in cold water, and air-dry.
From carpet: To remove tough juice stains from carpet or rugs (or stains from milk, soda, wine, or Kool-Aid), create your own cleaning solution by mixing one teaspoon clear liquid dishwashing detergent into one cup lukewarm water. Spray onto the stain, then blot with a clean, dry cloth. If that doesn't work, follow up with a solution of one part white vinegar, one part water. Blot, then use your cleaning solution again. Rinse with water, and repeat until stain is removed.