Fresh grapefruits are available year-round, though they are traditionally a winter fruit. Those grown in Arizona and California are available January through August, and grapefruit grown in Florida and Texas arrive in October and last through June. Choose grapefruits that feel heavy in the hand. Although the skin may appear irregularly colored, this is not generally an important factor. Avoid fruits that have soft or wet spots. Thinner-skinned fruits are usually juicier but not necessarily tastier.