The other post refers to the basics of the new way of handling private information. But there are some issues that only apply to members of The Church of Jesus Christ of Latter-day Saints. Quoting from the Family Tree Help Center article entitled, "Understanding Private Spaces" it states:
Additional Information for MembersThese links may only be visible to those who log in with an LDS Access Account. You should notice from this explanation that there will be duplicate individuals created in the Family Tree program. At this time, it will be up to the members to resolve the duplicates.
- Each living person will have a different ID number or Person Identifier (PID) because each person is listed as a separate individual in each living record. Living records do not sync.
- For members of The Church of Jesus Christ of Latter-day Saints, membership information will be used to create certain people in their private space to help start their tree (mother, father, children, and so forth). Once created, these living people can be changed by the user, but such changes will not modify Church membership information. See Information that you can see from LDS Church Membership Records about living Individuals (71953).
- Church members can modify their private space in Family Tree without having to ask the ward clerk.
- Please contact the ward clerk if you feel the membership records are incorrect. See also Deceased individual's membership record has missing or incorrect information (53636).
- When a ward clerk records that a person is deceased, then Church membership will create a deceased person in Family Tree, making it public. The ordinances that the person had done while living will be recorded on that copy. This will not affect the copy in your private space, and you will need to add the information that shows the person is deceased in your private space. You will then need to search for Possible Duplicates and merge your copy with the membership version. If a person made his or her personal space copy show the person as deceased, that person should merge these two records together. This procedure will need to be done by each person who has created a living person in his or her own private space.
If you understand what Private Spaces means, it means that only the person entering the information will see it. That includes spouses, children etc. No, your spouse will not be able to see the living people you enter and no one else will either.
I would speculate that there is a possibility that the Private Spaces may be enlarged to include other members of the family, but that is not available now, but may be in the future.