I'm currently using free version and any new project I create is visible to all my team members, which is something I don't want. Thank you :)
welcome to the Atlassian Community! Your statement is very true because:
You can't edit project permissions or roles on the Free plan for Jira Software or Jira Core, and you can't configure issue-level security on any Free plan (including Jira Service Management).
To take advantage of Jira's powerful project permission management features, upgrade your plan.
Doing so you could use a Permission Scheme to restrict what users can see and do in your Cloud site.
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