<p><br /> Pierre Moussi&eacute;, the man behind achingly hip hangout Brasserie Barb&egrave;s, is impressively au fait with Paris&rsquo;s moveable zeitgeist: his boutique stay H&ocirc;tel Providence Paris &ndash; a deliriously decadent pied-&agrave;-terre wrapped in an elegant Hausmannian shell &ndash; sits at the centre of a menage a trois of desirable arrondissements. Its neighbours include cultured dining hotspots of the Haut-Marais, shabby-chic Canal St Martin, and gallery-blessed Beaubourg. But you may be inclined to stay in for the evening, once you&rsquo;ve seen the serious in-room cocktail bar and kit at your disposal.</p>