An alternative method is to in step 7 insert a small screwdriver into the hole in the front shell where the power light goes through and push off the screen enough to pry it off with your hands. Thereby avoiding this razor-near-the-screen business. You will also most likely need some alcohol (or similar) to loosen the residue leftover from the old screen.
A note to anyone replacing the LCD screen: Your replacement screen will have one or two overlays on top. If it has a thin clear plastic overlay you can remove it from the screen; this overlay is for protection only. There is always a thicker, see-through black plastic overlay (you won't be able to tell it's black unless you remove it). DO NOT REMOVE THE SECOND OVERLAY. You will know if you're removing the wrong overlay because this overlay is rather difficult to remove. If you make the mistake of removing it, stick it back on using a credit card to remove air bubbles. It's also possible to use the overlay off of the original screen, but the adhesive on that overlay is even stronger, making removal tricky.
Make a note of where the Wi-Fi antenna connector, microphone, and speaker wires are positioned in the DS Lite housing. If they are not placed back in the correct location, the case will not close. If you force it closed you will squash the wiring which could lead to problems later on. Also be sure the speakers are placed back in correctly. If you can see metal through the speaker holes in the case then you've done it wrong (flip the speakers over). Lastly, when trying to maneuver the antenna connector back under the game cartridge reader, make sure the connector head is face down so that it does not get stuck (happened to me). If you look at the picture in Step 7, it's a straight shot from right to left when running the wire through. Use a paperclip and a flashlight to help you if you get stuck and most importantly, do not try to yank it free!