FIRST: Turn off your hot and cold water supply. If your faucet does not have a shutoff valve for each line, you will have to go find your main water supply valve and shut it off.

There are two clips on each end of the valve. The BLUE one just pops off.(Red circle) You DID turn off the water right? Otherwise, things are going to get pretty wet.

The top black clip is metal,(Green circle) and it is rotated off of the upper hose. Its difficult to unclip. You will need to use a finger on each side of the clip edge and push. It's edges are sharp so be careful.

Unplug the wire on the bottom right(Yellow circle) ( Its like an audio jack) that goes up to your faucet. There is a second wire (Blue arrow) that also goes up to the faucet that is connected to a metal grounding clip that will be snapped into the base of your faucet. It should just unclip at the faucet end.

Now, grip the hose below the valve and gently pull it free of the valve.

Repeat on the upper hose. You should now be able to pull the whole package free and place it on a work surface.