Drive to work every Monday morning. Take 4 dress shirts, ties, and suit jackets with you along with a wash cloth and deodorant. Tuesday thru Friday, bike to work in your suit's trousers and a T-shirt or windbreaker.

Get to work 1/2 hour earlier than your start time. Freshen up upon your arrival inside the washroom. Hang up your T-shirt and/or windbreaker. Put your dress shirt and tie on. Keep your suit coat hung over the back of your desk's chair.

Return home in your suit with the windbreaker tied across the handlebars. The T-shirt is just underwear!

A 3 mile leisurely ride should not make too much sweat....

PS.

Keep a nice quality bottle of cologne inside your desk at all times!