It would be helpful to know what the differences are. I know we frequently list differences in the Returns policies for each manufacturer in the Returns section of our Shipping & Returns page. I suppose you could do the same for shipping but it's usually better to do that on your actual product pages.
Honestly, nobody reads the Store Info pages. They are there mostly to protect you in case a customer has unreasonable expectations or tries to pull a fast one. It is best to make it abundantly clear how much the shipping for items is going to be on your product pages or in the header of your website. The #1 reason for abandoned carts during checkout is surprise shipping charges.