I like this quote from usability guru Jakob Nielsen about whether you should have a responsive website or a mobile website. I agree!
"I don’t prefer mobile sites or responsive ones. What I do like is sites that deliver the best mobile user experience, whatever the site type. And sometimes the best experience is provided by a mobile-dedicated site, sometimes by a responsive site.
In truth, users don't care if a site is responsive or not: they simply don't see any difference between a mobile-dedicated site and a responsive site."