A bird's feet are simply referred to as "feet." The claws on the end of a bird's feet are also simply called "claws," unless the bird is a bird of prey, such as an eagle, vulture or hawk — then its claws are called "talons."
The feet of each bird species varies widely based on adaptations that the bird has undergone to help it survive in its habitat. For example, a woodpecker's feet have evolved with two toes pointing backward and two pointing forward in a design that helps the bird scale trees and climb sideways on the trunks of trees. By contrast, a duck has evolved a webbed foot that helps it to swim quickly and efficiently.