Can we agree as a community that these are three distinct names and titles and direct people who use the interchangeably to a common post? I ask because I see this question: "https://christianity.stackexchange.com/questions/40672/is-satan-the-creator-of-evil" is linked to this question as duplicate "What is the Biblical basis for saying Lucifer is an angel?"
Lucifer (arguably) is a mistranslation in the KJV of the Bible. Confusingly, ancient Luciferianism is the worship of the morning star as the bringer of "light" (literally with the sun and figuratively with knowledge). Modern Luciferianism is deistic Satanism - I believe.
Satan is a title - adversary. Which other entities can be satans. If I were an adversary to the government, I would be a satan for example (not true but you get the point).
Devil is the actual entity which I confused in this answer "How was Lucifer created?"