How can I stop sharing Apple TV subscription with the members in my family on my account

You can choose which eligible App Store subscriptions you share with family members. From: Share Apple and App Store subscriptions with family members on iPod touch - Apple Support and Share Apple and App Store subscriptions with family members on iPhone - Apple Support

"1. Go to Settings > [your name] > Subscriptions.

2. Do either of the following:

- Share all new subscriptions: Turn on Share New Subscriptions. When you purchase a new subscription that’s eligible for sharing, it’s shared with your family members by default.

- Change the settings of a specific subscription: Tap a subscription, then turn Share with Family on or off.

- If you don’t see Share with Family, the subscription is not eligible for sharing.

To see which subscriptions you’re already sharing, go to Settings > [your name] > Family Sharing."