This repair is somewhat difficult. There are a couple of points to be careful about:
1) The display ribbon cable is fairly easy to remove from the hinge, but somewhat difficult to route through it once the new display is in place. It is easier to do if the antenna/microphone wires are out of the way.
2) The ribbon connector is fairly short and difficult to manipulate so that it mates securely to the socket on the motherboard. If it isn't seated properly the DS will not boot. So test it first (by temporarily pressing the battery against the battery connectors and turning power on) before re-assembly.