bigheaded

blusterous, blustery, boastful, bombastic, braggart, bragging, braggy, cocky, swaggering

arrogant, bumptious, cavalier, chesty, disdainful, haughty, high-and-mighty, high-hat, huffy, lofty, lordly, masterful, pontifical, self-asserting, self-assertive, snobbish, snobby, snooty, supercilious, superior, toplofty (also toploftical), uppish, uppity

domineering, high-handed, imperious

highfalutin (also hifalutin), holier-than-thou, pretentious

overconfident, presuming, presumptuous

confident, self-assured, self-confident

self-adulatory, self-congratulatory, self-contented, self-gratulatory

self-applauding, self-dramatizing, self-glorifying, self-promoting

self-affected, self-centered, self-engrossed, selfish

condescending, patronizing