The best times to shop at Family Dollar for the best deals are early in the week when the weekly ad is first released, and during off-peak hours such as early mornings or late evenings. Shopping early ensures a better selection of sale items, while off-peak hours reduce the chance of crowded aisles and long checkout lines. Additionally, special promotions or flash sales may occur throughout the week, so staying informed and flexible can help you capitalize on the best savings opportunities.