Still better off paying for a VPN in these trying times. It has more use cases and can be shared between multiple users to bring the cost down to practically nothing. You can also download and keep your Linux ISOs .
That being said if it works for you then you do you.
It is the parents job to watch their damn kids. Or force isps to include simple blocklist toggles in their supplied routers so the parents can make a decision.
One option is a live CD or a VM and in this case you can restore the state after each session. In both cases only your IP, timestamps, browser details and everything you interacted with on the site is stored by Facebook. But no new hardware or cookies will be stored on your device as it is wiped each time.