What are your interests (ie sightseeing) and what type of shopping are you looking for? Champs Elysee itself is filled with multinational chain stores — like the Disney Store, Levi’s, etc. Avenue Montaigne, r. Faubourg St. Honore, r. St. Anne for high end designers — Gucci Chanel.
department stores may be good as time is so limited— Bon March, Galeries Lafayette and Printemps