Private or Public network

I live in the house where other people have their own devices connected to the same network as me. Even thou they are my relatives, I set up my computer to use "Public network" because I read that Public is more secured because file sharing and discovery is truned off.  Did I make a right choice to choose public network for my computer or should I still set it as private since I'm at home? 

I read that public is meant for airports and coffee shops and other public places, however I still don't want to have my PC to be discovarable by other devices on the network. So did I make a right choice? 

Thanks