Paris is a beautiful city. First do not try to speak French unless you speak it well. English is spoken just about everywhere. To get around the city of Paris, you should take the Metro. This is a subway and you can get around most of Paris this way. The subways are safe and clean. Driving a rental car in Paris will prove expensive and difficult. Besides friendly French people on the Metro might give you tips on what and when to see something.
As for atypical sites in Paris, there are quite a few. Parc Andre Citroen is a good place to take children. There is a fountain in this park where the locals take their kids for bathing suit fun. The is located near a Metro stop. The park features modern architecture elements such as benches, pools and waterfalls.
Museums are plentiful in Paris. Of course there are the large and crowed ones. Focus on the smaller less well known museums. One such museum is the Musee Marmottan du Claude Monet. This museum houses Monet’s private collection donated by his son. Objects include smaller canvases, sketchbooks, renderings and even letters to his close friends. The museum includes works by other artist as well.