You can hide all storefront pricing by enabling the setting "Hide all pricing on the storefront" in Configuration > Settings > General Settings > Hide all pricing on the storefront:

When this setting is enabled then all pricings for a storefront will be hidden.
This includes pricings on product pages as well as in the basket/cart and during checkout like in the examples below:
Stock product

Mega Edit Product
Basket/Cart

Alternatively, if you'd like to hide the price for individual products please see: Hide Pricing with CSS – Infigo Help Desk (zendesk.com)