Filter Blog

Im looking for a solution to filter my blog posts by multiple categories.
With the standard category widget I can only filter one category.

It should look like the filter widget of woocommerce but for the blog posts.

You can see the woocommerce Widget here in the right sidebar (Filter by color)
http://demo2.woothemes.com/storefront/product-category/clothing/hoodies/

I know this could be done with the get_posts function but I don’t know how to combine this function with a filter widget.

Is there a plugin with this function or how could I provide this function.

Thank you for your help