I am quite new to Airbnb so I am still learning.
The pictures shared shows quite a lovely and welcoming environment.
It is important to let prospective guests know the shared area(s) and those that are not prior to arrival and on arrival . The latter just to ensure that there are no misunderstandings or embarrassment on either part if the guest wanders where he or she should not be.
Some guests may just to unwind at your place. For example, watch TV, read, play board games (which cater to adults and children). Your space should therefore provide such essentials and others may just prefer to be out and about, and just want some place comfortable and cozy to relax after. It is difficult to determine guests' needs and wants.
Whatever you do, just make the space that is available to them, a place that they would want to return because of their desired experience.
Hope this response helps.