What are the fancy hotels near louvre or eiffel
If your budget is high, the Shangri-La Paris or the Mandarin Oriental are super luxury hotels near the sites you mentioned. Slightly less expensive, but still luxury are Grand Hotel du Palais Royal or the Hotel de Vendome.
The area around the Louvre is a bit nicer than around the Eiffel Tower (though both have very nice, upscale neighborhoods). Place de Vendome is fabulous and though not right next to the Louvre, is extremely nice.
Happy to help with other suggestions as well - have a fun! Paris is simply magical - enjoy!