verb

talk with excessive pride and self-satisfaction about one’s achievements, possessions, or abilities.

she boasted about her many conquests

brag,crow,swagger,swank,gloat,show off,blow one’s own trumpet,sing one’s own praises,congratulate oneself,pat oneself on the back,exaggerate,overstate,preen oneself,give oneself airs,talk big,blow hard,lay it on thick,shoot one’s mouth off,skite,big-note oneself