Probably you also want to hide the Add to Cart actions to unlogged visitors, otherwise the price could be shown in the cart.
We thought it was a subject interesting enough so we are preparing an article here. This is still under construction so we can’t guarantee it’s a great article at this point. The solution would also depend on other factors like theme customizations, or other apps that could be adding price elements.
Anyway you are more than welcome to read the article and give us a feedback. You can also contact us through the Contact page in the blog.