Usage patterns
〈人〉は自惚れが強いsomeone is very conceited
He's so conceited that he won't listen to others' opinions.
自惚れを捨てるto cast off one's vanity
To succeed, you need to cast off your vanity and adopt a humble attitude toward learning.
自惚れに陥るto fall into conceit
Just a little praise was enough to make him fall into conceit.