In Account & Settings → Store Settings you can:
- Make your store inactive (hidden from buyers; nothing is deleted).
- Show or hide your store in store search.
- Allow following and show or hide your follower count.
- Edit your search-engine title, description and keywords, and choose whether search engines may list your store.
- Change your store URL. Links to your old address keep working.
Search listing, public visibility and follower count are the same settings on Privacy & Preferences: change them in either place and both update.