Decide at what width (media-queries) the menu should be visible and if what should be hidden.
Add shortcodes and HTML next to the menu button that appears when the menu is open.
Assign images to menu items with the third-party plugin Menu Image and fetch images from WooCommerce taxonomies as well as Custom Taxonomies with the Taxonomy Image plugin.
Assign your choosing of icons to menu items.
Change colors, background, font size and family as well as many other settings for the menu and icons.