Storm season hits hardest in summer months, when fluctuating temperatures can cause heavy rain, wind gusts, and even hurricanes. High winds can blow down a dead tree limb, and over-saturated soil can cause uprooted trees. Roger Cook recommends having a certified arborist come out to evaluate the trees around your house. He will be able to spot rot or other issues that you might not recognize, and he'll know which types of trees are vulnerable to uprooting.
An arborist can also help with trimming back too-close tree limbs, which should be 8 to 10 feet away from your roof, or balancing out a tree that is uneven and therefore more prone to topple over in a bad storm.