Product Attributes (Price Ranges) as Menu Items

Hi!
I’m using storefront to create a website for a client who sells two categories of products (beds and mattresses) that have varying prices (e.g. Price variations are a) $1000 – $4999 b) $5000 – $5499 c) $5500 – $6000

I know that I have to create a) b) & c) as separate “attributes” for the product categories in woocommerce. My question is this:

How can I show these price ranges/”attributes” [i.e. a) $1000 – $4999 b) $5000 – $5499 c) $5500 – $6000] as:

1) menu items and…
2) in the sidebar of the storefront theme.

Any help would be greatly appreciated

Thanks!
Stephen Strydom