I have both. The Death adder and the Copperhead. It's a really hard one to comment on though as I'm still deciding on what one to keep but I'll try and make some sense of it.
I used the Copperhead for over a year and I really stepped up my accuracy on online FPS games with it but the draw back was always the laser skipping (even on a Razer Exact mat). It's also a bit small for my hands but not too small.
I really got used to the finger flicking actions so the transition to the palm based Death Adder wasn't as pleasant as I'd hoped. When I plugged the Death Adder in and fired up Call of Duty, my hand started to hurt and it was quite awkward for this finger flicker. After a few games with short rests in between I started to find it to work pretty well and the dreaded laser skipping is no more!!!!!!!

. Rifling accuracy has improved with the new shape but close range combat in games can prove to be a bit more awkward as it's a bit bigger than the Copperhead. I find the Copperhead to be better in close range combat apart from the laser skipping that is.
Even though the Death Adder is palm based I can still use it like a finger flicker and then palm based for long range rifle shots. This helps in close range battles as a finger flick is more easier than moving your whole arm.
Death Adders Pros:
The 3G feels to be more precise than the laser but it would be hard to notice I'd think. Better rifling handling for pixel kills (tiniest amount of body shown for long range kills) and also long range rifling. No skipping at all. Much Comfier and the side buttons are easily accessible now. I'm not 100% sure on this but the clicking of the buttons seems a little smoother now. Great for palm based players.
Cons:
The new shape doesn't like lefty's. Only 2 additional buttons other than right, middle and left click. Finger flickers will think of this mouse like "Marmite", they'll either love it or hate it. Middle wheel is a bit flimsy for weapon selection sometimes.
Copperheads Pros:
Finger flicking heaven with the edged ridges that support your thumb and pinkie. Much better for close combat players as finger flicking is hard at great distances when rifling. Accurate laser for precise shooting. Quite durable too as I've had it for over a year and it's still perfect. Good buttons.
Cons:
The dreaded skipping which has lost me countless number of frags. A bit small for people with larger hands. Flimsy middle wheel for weapon selection like the DeathAdder.
If your a palm based player then get the DeathAdder. You will love it. If you are a finger flicker like me then I couldn't recommend the Copperhead as the laser skipping is terrible. It's the only thing that's keeping me using this DeathAdder. For a finger flicker then I'd suggest the Razer Diamondback 3G as it's Infrared and shaped like the Copperhead so a perfect balance up IMO.
Or you could wait for the 4000DPI Razer Lachesis

(shipping November). This will have 3G laser this time so I'm hoping that the skipping will stop and the new shape is based around the Death Adder but still quite appealing for finger flickers.