I just started a website and am having some problems with the logo. While the logo is created, I am having the darnest time as to make it sharp, and of higher definition. I created it with fireworks. I was thinking of just trashing the logo and starting fresh, but if I can get this thing to stand out then I may not have to.

Any suggestions as to how I can make it higher quality? I am new to image/web design so proceed with caution. I am shooting for a quality like the header at www.swiftmediauk.co.uk. Do I just need new software?

Site: www.u-connex.com (top left logo)