You actually should have a single home page, and create two separate sets of content on it. One set will be for unauthenticated users, and the other set is for authenticated. Set them like this:

Unauthenticated Content

In each feature instance, go to settings, general tab, and check "Hide From Authenticated Users." Note that once you do this, if you need to modify the feature instance in the future, you'll have to do it from Page Settings, since the feature instance will be hidden from administrators too.

Authenticated Content

In each feature instance, go to settings, security tab. Under "Roles that can view this content", uncheck "All Users" and check "Authenticated Users". On the general tab, there is also a "Hide From Anonymous Users" setting, but this should not be relied upon for security. By securing with roles, it will prevent leaking of data through search, etc.

Hope that helps,

Jamie