Man, if you're just stepping into the chrome-and-neon world, you gotta hit the classics, but maybe not the most dense ones first. I'd say 'Snow Crash' by Neal Stephenson is your ideal starting gate. It's got that perfect mix of wild ideas and self-aware humor that makes the genre's weirdness accessible. It's fast-paced, has a protagonist named Hiro Protagonist (seriously), and lays out a lot of cyberpunk's core themes without getting bogged down in overly complex prose.
From there, William Gibson's 'Neuromancer' is the holy text, but it can feel a bit dated and dense for a total newbie. Maybe read 'Snow Crash' first to get your bearings, then tackle 'Neuromancer' to see where it all came from. After that, 'Altered Carbon' by Richard K. Morgan is a fantastic, hard-boiled detective story set in a world where consciousness is digital. It's violent and gritty, but the core mystery is so propulsive it pulls you right through the worldbuilding.