How to have shop links not show up till on pages that shopping is available?

Am in the very early stages of rebuilding my website. I have installed Storefront as my theme and Woocommerce for payments with Stripe.

I built my original site in Dreamweaver and used templates to apply different menus/looks to different pages. What is the method in WP?

I have pages that are not shopping pages and ones that are. How can I get rid of the shopping links (cart, search, account) on the main front page, and only have these in the shopping pages?

Is there a way to have menus that show only on some pages but not on others?

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