I updated some of my pics to help you out....
-Get a drip tray underneath (wont be much that comes out) and slide the hose clamps off the barb underneath and pull this line. Tips: its gunna be stuck on there like hell so grabbing the ends with pliers and twisting them around a bit will help. I did that and used a flathead screwdriver and a lot of elbow grease and twisting to get em off. I guess if you have no remorse you could also just cut it off but then theres no turning back
-Get your two pieces of hoses attached to the cooler outside the Jeep, tighten the hose clamps nice and tight
-Take off your grille, a couple hex screws on top and a couple in the slats
-You will probably need to "modify" your header panel to slip the cooler in there... honestly I didnt see the header panel grille slats as all needing to be perfectly strong and intact so with some big clippers I just snipped through one of the plastic supports and bent it outta the way while I slipped the cooler in. This pic shows where I ziptied the cooler to. I routed the hoses through a convenient little hole in the rubber fin (next to the radiator) towards the airbox
Then after thats all secure route the lines down towards the factory ones. For me I went over and in front of the steering box. If you decide to do this throw wire loom over the hose anywhere where it has the potential to chafe. Make sure moving parts wont hit it, etc etc.
Then use some more hose clamps (should be included with the kit) to hook up right to these lines. Trim any excess line you may have but make sure its not too tight and pulling too much on the lines.
Its notable that I designated the top line coming out of the aftermarket cooler as my "output" and the bottom as "input" so any air bubbles get pushed up and out. Theoretically its not "bad" if you mixed them up but might as well do em like this. Now make sure everything is good and tight start up the Jeep in Neutral with the ebrake set and watch for leaks. After a couple minutes throw your grill back on and go for a test drive. Come back and check the tranny fluid and add as necessary.