The solution for injecting more flexibility and power into your WordPress website is to use plugins that are specifically designed to help you add and move around widget areas and control what widgets to display and when. Then you need to find some cool widget plugins to add the feature and content you need.
I have collected a bunch of the best WordPress widget plugins I know. I am fully aware that there is a lot more out there and I may have missed a few good ones. Please let me know if I did and I will consider adding them.