I do actually have some advice for this, yeah!
Essentially, you want to go for harsh neons and high contrasts for most things.
Black, dark purple, and browns should make up the bulk of the picture with elements outside of that being very bright and glaring or artificial-looking neons!
This picture shows off the concept well, most of the walls and fog of this scene are portrayed with black and a muddy red/brown, for harsh unnatural lighting. The props and scenery are highlighted with bright neon blues and yellows, with some reds here and there as well.
Google will be an excellent resource for this, just the word "cyberpunk" brings up a wealth of usable reference images! And when in doubt, Blade Runner remains one of the biggest influences on the subgenre and there's plenty of other ideas to take from it, like this shot of the Tyrell building:
This one only really uses blacks and golds, something that the game Deus Ex made use of heavily in its own scenery!
And on a slightly-related note, one of my friends runs a somewhat minimalist cyberpunk universe called static on the wire here that might help you if you're planning a more simplified art style:http://tgchan.org/wiki/Static_on_the_Wire
He often manages to sell the cyberpunk vibe of his story with little more than a near-binary palette of orange and black!