I don't know about cleaner, there's a lot of hoses running around here, haha.
For reference, I used this image (courtesy of Scotty Baccus from from the LS Swapped Square body facebook group) for my wiring of the AC system (already had the fans wired previously).
Even with my currently leaky fitting the compressor kicked on when I started adding refrigerant and cooled the cab down quite nicely.