All my websites are fully responsive and they look awesome on all kind of devices. You don't need another website just for mobile devices, just one website for all, no extra costs and much easier to manage. Responsive web design is not a stand alone service i offer, it's the core feature of all of websites i build. So if we going to build a website, of course it will be responsive!
Responsive web design (RWD) is an approach to web design aimed at crafting sites to provide an optimal viewing and interaction experience easy reading and navigation with a minimum of resizing, panning, and scrolling across a wide range of devices: desktop computers, laptops, tablets, mobile phones...
A site designed with RWD adapts the layout to the viewing environment by using fluid, proportion-based grids, flexible images, and CSS3 media queries, an extension of the @media rule.
Responsive web design is becoming more important as the amount of mobile traffic now accounts for more than half of total internet traffic. This trend is so prevalent that Google has begun to boost the ratings of sites that are mobile friendly the search was made from a mobile device. This has the net effect of penalizing sites that are not mobile friendly.