"Communism & Socialism are very different things"
Only if you consider socialism the theory and communism an implementation (which it was). Praised as the socialist paradise and rejected as not socialism after it failed.
"Communism : The state owns everything & provides you with the basics required to survive."
That is the result yes, and also the outcome of almost all of the experiments to implement socialism. It seems to be the outcome even if it is not the desired hope of the theory.
"Socialism : The state provides basic services that we all use, & ensures that everyone leads a decent quality of life, while the private sector competes for the other things we might want."
Definition of socialism (very quick and lazy google search)- a political and economic theory of social organization which advocates that the means of production, distribution, and exchange should be owned or regulated by the community as a whole.