This nice apartment comes highly recommend!
If you're looking for a good price/quality, look no further.
Located at Montmartre, it's really close to the Sacré Coeur, and it's really close to a metro station, so all the other places you'd like to go are also easily reachable. It's also very easily reachable if you're arriving with the Thalys in Gare du Nord (just 1 metro line, no transfers), or you can even walk :-)
There are a lot of restaurants close by, and Marie and Pierre can recommend their own favorites as well.
They have a specific tourist guide specifically on Paris, which was also nice touch (which is in English).