Having different products on different pages

Hi my client want the option, if possible, to have her sites products on two different pages. Her products that she is selling have two product categories. Shop New and Shop Vintage. I made two pages with those names.

Is it possible to customize so the Shop new products will be in the page Shop New and Shope Vintage products in the Shop Vintage page?

Site is http://www.sailubju.com/blog/