I'm going to do something similar on my Jeep TJ, put high output LED work lights into the rear bumper to serve double duty; as really bright back up lights and independently switched work lights.
Because the LED work lights I will use pull more amps than the OEM incandecents, I'm running them through a relay. The switched (work light) 12V power wire will be attached to the normally closed contact on the relay. (Note, this is a hot lead off the battery, not switched.) The 12V for the lights when being used for reverse lights will be attached to the normally open contact on the relay. The 12v that would normally power the reverse lights will be run to the coil on the relay.
The idea is that under normal conditions, the "work lights" will have hot 12v power via a manual switch off the battery. When I put the Jeep in reverse, the coil on the relay will energize, closing the normally open circuit (and opening the normally closed circuit), thus illuminating the "reverse lights".
It opens the possibility for accidentally leaving the "work lights" on while driving the vehicle, so I'm going to borrow from my "SLOB mod" done on my motorcycle (Signal Left On Beeper), and via another relay, control a small piezo beeper that will sound if I leave the work lights on when the Jeep is running. The coil to this second relay will be energized by a 12v switched supply.
I suppose I could still accidentally leave the lights on while driving, but there would be an annoying beeper letting me know.
I thought also about simply running the 12V hot power for the work lights via the normally closed contact on the 2nd relay, and then have this relay open when the Jeep is running, but I'd rather have the flexibility to be able to turn on the work lights whether the Jeep is running or not.