Need to eliminate 3-4 seconds of response time (connection time) before it loads the page.

we developed a magento site however we have a small glitch which we need a professional help to resolve. the website is [login to view URL] and we have developement site for testing. [login to view URL] Now, the problem is, once you click any link or product on the website, there is 3-4 seconds of responde time (connection time) before it loads the page. here is the static vs dynmic page response times with Magento Static page - [login to view URL] HTTP: 200 Connect: 0.009 TTFB: 0.023 Total time: 0.090 HTTP: 200 Connect: 0.009 TTFB: 0.018 Total time: 0.082 HTTP: 200 Connect: 0.009 TTFB: 0.018 Total time: 0.087 HTTP: 200 Connect: 0.009 TTFB: 0.018 Total time: 0.084 HTTP: 200 Connect: 0.009 TTFB: 0.018 Total time: 0.086 HTTP: 200 Connect: 0.009 TTFB: 0.018 Total time: 0.086 HTTP: 200 Connect: 0.009 TTFB: 0.017 Total time: 0.088 Dynamic page - [login to view URL] HTTP: 200 Connect: 0.009 TTFB: 3.579 Total time: 3.644 HTTP: 200 Connect: 0.009 TTFB: 3.722 Total time: 3.783 HTTP: 200 Connect: 0.009 TTFB: 3.186 Total time: 3.249 HTTP: 200 Connect: 0.009 TTFB: 3.448 Total time: 3.512 HTTP: 200 Connect: 0.009 TTFB: 3.222 Total time: 3.285 HTTP: 200 Connect: 0.009 TTFB: 3.907 Total time: 3.972 So would you be able to help us to solve this problem, please let us know your fees as well. Thank you Turk