The best time to pick strawberries is during a warm afternoon as that is when the fruits are at their most flavorsome. The hotter and sunnier it is when the berries are picked will mean the fruits are softer and at an increased risk of bruising.
It is also recommended to pick the fruits on a dry day and to keep them in a cool spot after harvesting. If you are planning to store the fruits, then you can pick them at a cooler time to further reduce the risk of them getting damaged.