Posting on the Web............test

I have been using a 'save for web' tool, to resize my images to my websites pixel width and to sharpen since web images are at a different ppi/dpi. But I kept noticing when I looked at a photo saved to my computer vs. posted on the web, the web version doesn't look as sharp as they do on my computer and when I print them. So I just found a new 'save for web' tool and here are the results.


The first photo is posted the way I have always done it.

And this one is with the new way...............way sharper, what do you all think? Should I sharpen all my images for the web?