• Acts the blowhard
• Betters oneself, in a way
• Blows one's own horn
• Blusters
• Boasts
• Crows
• Eschews humility
• Exaggerates, perhaps
• Is boastful
• Quotes one's own autobiography?
• Sets oneself up to eat humble pie
• Talk endlessly about a birdie, say
• Talks big
• Talks boastfully
• Talks oneself up
• Toots one's horn
• Toots one's own horn