How good are you with web programming languages, such as HTML, PHP and JavaScript?
I am not saying/writing that you need to be fully knowledgeable with all those languages, but that you have a basic understanding of the languages and, more importantly, that you are willing to spend some time increasing your learning of those languages.
From what I have seen, your web site is only displaying the general template produced by Weather Display.
One way to improve on that page is to look at, read, install, modify and enjoy the results of the templates developed by Ken True - you will find them at ‘PHP/AJAX Website Template Sets’.
Are you in a rush to get your weather web site going or do you have the time and the patience to learn and experiment - your response will provide me with ways to possibly advise you.