1) Puffed with conceit 2) Walking like a peacock 3) Walking with a swagger 
protrudingly; distendedly
• (a. & adv.) Sticking out, or puffed out; swelling; in a swelling manner. • (a. & adv.) In a strutting manner; with a strutting gait.
A·strut' adjective & adverb 1. Sticking out, or puffed out; swelling; in a swelling manner. [ Archaic] « Inflated and astrut with self-conceit. Cowper. » 2. In a strutting manner; with a strutting gait.