Should you feed squirrels and if so, what should you give them? The type of food squirrels eat varies depending on the season. Squirrels mainly eat flower buds, nuts and seeds but also chestnuts and various fungi. Before winter arrives, squirrels will store food in many places around their habitat and will return to these caches during the winter months. Generally, giving squirrels additional food will not harm them. As squirrels are already beginning their gestation period in January, the females in particular need a lot of food in the middle of winter. The first of their young are born in February and will start looking for food themselves in March and April.