The 16th arr. is fairly large. Technically it touches the Arc de Triomphe and is right across the river from Tour Eiffel. However, the hotel you listed is fairly far from both of these places. If you don't mind walking, I like the Passy neighborhood in the 16th (20 minute walk from your hotel). Plus, one of my favorite Parisian museums is Musée Marmottan which is in the 16th (15 minute walk). It has the largest collection of Monet paintings of any museum I believe, as well as many other Impressionist paintings. 20 minutes away is the île aux Cygnes in the middle of the Seine River. It has a large replica of the Statue of Liberty at one end, and a great view of the Eiffel Tower at the other. The 16th will likely give you more of a feel for how citizens of Paris actually live, however that may not be what you are looking for.
But the 16th is fairly quiet, and far from the things most tourist want to see. The Jarden du Luxembourg is wonderful for kids as are many other areas and sights in the 5th arr. I don't recall your other post, but if this is your first visit to Paris, you will likely be better served by staying in the 5th IMHO. And you won't have to spend as much of your vacation tunneling under the city in the Metro.