I am working with Arduino for the first time to power 12V LEDs in various combinations, turning on and off the lights from a Max patch. This is very basic stuff and there's plenty of threads with similar questions, but I just can't wrap my head around how to wire this up.
I've got several LEDs from a strip like this:
I understand that relays are the way to go to work with the 12V LEDs at the distance I need. I got this sainsmart relay: 
I have no problem getting the relays to turn on with digital outs from my Uno; I hear the clicking of the relays and the correct light on the relay board lights up, which I take to mean the pathway is set. But perusing existing topics, I can't figure out the proper way to attach the LEDs to the relay outputs and provide them with power.
Into which slots of each individual relay outputs do I plug the positive and negative terminals of each LED strip? I keep seeing the phrase "common ground" thrown around, but I'm not sure how that works. How do I get the proper 12V into the relay board? I suspect it's through the inputs on the bottom of the board grouped GND, VOC, JD-VOC near the bottom of the board.
here's an example of what I have so far, which functionally turns the relays on and off but does nothing else.
One more question once I get this figured out.
I know electromechanical relays don't move quickly enough to provide PWM directly, so if I wanted to use the PWM enabled pins to fade the LEDs through the relay, would I somehow open each relay and THEN send the PWM signal through? Is this possible?
