There are more than 1,600 hotels in Paris, and choosing where to stay can be dizzying. It’s important to consider location—does the neighborhood match your mood and itinerary goals?—and, of course, your price point. Each of these luxury hotels makes for a smart home base in the City of Light, with rates that are below $1,000 per night. They deliver on what matters most: a great address, striking design, a clear sense of place and service that’s warm and attentive. Boutique-leaning by nature, the...