In Season: Grapefruit-growing season lasts from October through May. Grapefruit keeps well in cold storage, so it can be found in supermarkets year-round.What to Look For: Grapefruit comes in white, pink, and red varieties. Pink and red grapefruit gets their rosy blush from lycopene, the same antioxidant found in tomatoes. Choose fruit that's heavy for its size, with smooth, rather than bumpy skin; these are good indicators that the grapefruit will be juicy.How to Store: Grapefruit will keep at room temperature for a week when stored in a bowl or basket with good air circulation. Kept in an airtight bag in the refrigerator's crisper drawer, it can be stored for up to two months.