sentence - "I left smoking", "I quit smoking", "I gave up smoking", "I stopped smoking" are these same?

For various such sentences in many cases I get confused, it seems different for different cases. I want to know if someone left doing something for permanantly then what should be used?
Also give some examples for different cases.
Suppose... "I left my bag" means "I forgot my bag".

but If I want to say the same for permanentaly "I left bringing my bag".
Where should we use "stop" and "quit" then?