Which verb most accurately and commonly describes a bird's daily behavior to make its feathers clean and organized.
"organize" its feathers
"brush" its feathers
"clean" its feathers?
The verb is to preen:
[ I or T ] If a bird preens or preens itself, it cleans and arranges its feathers using its beak.
preening macaw parrot
To preen is the primo answer. OED provided by @user240918
intransitive. Of a bird: to tend its feathers with its beak, arranging, cleaning, and generally maintaining them.
consideration to alternatives:
to plume OED
b. Of a bird: to preen or trim (the feathers or wings). Also fig. (frequently with the suggestion of preparation for something, as a bird preens prior to flight).
1998 Anchorage (Alaska) Daily News (Nexis) Delap admired the bird as it clambered out on the ice and plumed its feathers ...
to groom OED
transitive. Of an animal: to clean the skin, hair, etc., of (another of its family or group). Also reflexive: to clean and tidy itself.
As in: Social Psychology google books
If all birds in an interacting population were to operate on a rule of uncontingent altruism, things would go well for them; each individual would sometimes bear the costs of grooming and sometimes enjoy the benefits of being groomed.