[mike31154]

You actually have a picture to look at, even better, the real thing. The hot water shut off to the left of your sink drain already has a tee to supply hot water to your dishwasher by the looks of it. See the extra shut off valve almost touching the bottom of the cabinet? So all you need to do is take a close look at that and do the same at your cold water supply line on the right. Now I can't tell by the picture whether the lines coming through the wall are copper or the new plastic supply piping, but either way you'll need to splice into that somehow and it looks like you may need to remove the current cold water shutoff before you can do anything due to lack of room. Otherwise you might try t-ing into the grey flexible cold water line going up to the sink after the cold water shut off valve using small brass or nylon compression fittings. Looks like the RO/DI tubing is almost the same diameter. You might even be able to use the existing bass pressure fitting on the red RO/DI tube, just detach the saddle clamp if that's possible and tap into a t installed in the grey flexible supply line. Don't forget a dedicated shut off valve for the RO/DI line.