If you are disassembling your Wii because, say, a two-year-old has shovelled pennies into it (yes, that was me) you will also need to partially disassemble the drive itself, which is not covered in this guide. Luckily it's really easy. Unscrew the 4-5 larger Philips/cross head screws on the top of the frame (NOT any of the smaller darker ones) around the edges, and the frame on top of the drive will lift right off. Be careful as there is cabling running to it, so don't yank it or pull it too far off. You will now be able to get any coins or other foreign objects out.
This guide is really marvellous - works a treat. But I would definitely recommend needle nose pliers for this step rather than tweezers. It's really easy if you use pliers and potentially damaging if not, and you get it wrong. I had one sniff at it with tweezers then immediate nipped out to the garage for my pliers!