Western Bluebirds are small thrushes. They hunt for terrestrial insects by dropping to the ground from a low perch. Western Bluebirds also frequently feed on berries in trees.
Note: Scrub jays and Stellar jays are much larger, noisier birds with longer tails, heavier bills, and without any rusty coloration

He's standing around while she builds the nest. But he does participate in feeding. Below: He's bringing a cricket and she's bringing a moth larva.