École Militaire, is The Peace Monument created by Clara Halter and architect Jean-Michel Wilmotte, which was inaugurated in 2000. Through the monument's glass panes with the word "peace" etched in 32 languages and 18 alphabets, you can see the Eiffel Tower from a totally different point of view than you're used to seeing on postcards.
I regret to say that I did not walk to the top of the Eiffel Tower. Whenever the opportunity arose, I was too tired from the day's activities to ensure that I could tackle the climb swiftly enough to make it to the next event. Two women from my group did climb it - one climbed to the top twice (not in the same day).
But when you go to Paris, no matter how you experience the Eiffel Tower, from afar or up close, you may still want to buy one of these cute metal keychains sold at souvenir shops all over the city. Buy a dozen or more - they could make cute holiday/party decorations! How about Christmas tree ornaments? (See here for Paris Party Theme decoration ideas using the Eiffel Tower and where you can buy Eiffel Tower keychains and more.)