Hide for Specific Custom Post Type

We have some ‘private’ custom post types that we don’t want to display the breadcrumb at all. How do we achieve this?

Wrap the call in an if statement that checks the appropriate WordPress Conditional Tag.

How can we remove the post title name from the breadcrumb path? I understand that it’s not recommended but something we need to do.

Yes there is a way to do this. See this FAQ entry for the answer to this.