How to split publishing options permission from administer nodes permission

How do I split the publishing options permission from the administer nodes permission?

Staff users have permission to create, edit and delete some content types and not others. I granted them permission to edit and delete content created by other staff, not just their own, under those specific content types.

If staff is granted Administer Nodes permission, they get Publishing Options when editing. However, when they click the Create Content link, Drupal offers them all content types, not just the content types that staff has permission to create. Attempts to create such unauthorized content fails, but I don't want them offered the ability to create such content in the first place.

If staff is not granted Administer Nodes permission, then when they click the Create Content link, Drupal offers them only the content types that staff has permission to create. However, they then do not get Publishing Options when editing a permitted content-type node.

How do I give staff Publishing Options when editing a content type they are permitted to edit but only show them those content types they have permission to create when they click Create Content?