to walk with a vain, pompous bearing, as with head erect and chest thrown out, as if expecting to impress observers.

the act of strutting.

a strutting walk or gait. ?

strut one's stuff, to dress, behave, perform, etc.

one's best in order to impress others; show off.

verb

flaunt , flounce , grandstand * , mince , parade , peacock * , play to audience , prance , put on airs , sashay * , show off , stalk , stride , swagger , swank , sweep , peacock , swash , bluster , brace , brag , gait , grandstand , sashay , walk