Step 1: Supplies
I'm also using an old computer as a surface. You can use any old computer you might have laying around, or you can just use a normal table.
Step 2: Open the disk
Somehow this photo ended up upside-down even though it looks fine in Photoshop.
Step 3: Cut the disk and put the filter together
Trim the extra pieces so they have tabs on either of the sides you left open on the "pocket". Again, this is so you can add and remove layers without destroying the filter or switching to a lighter or darker one. Put them into the pocket. You're done with the filter, but it needs to be attached to the camera somehow, and the rubber band/staple trick won't work for this camera.
Step 4: The mount
Wrap it snugly around the barrel, and tape it in place. Next is the tricky part. Try to trim the tube to no longer than 1/4" beyond the lens. The filter needs to be as close as possible to the lens to get the same FOV as you get without the filter. Once it's trimmed and taped together, take it off of the camera and glue it to the filter. Let it dry.
Step 5: Finished
And if your camera has a viewfinder, DO NOT USE IT WHILE LOOKING AT THE SUN. Unless you've made a second filter just for the viewfinder, even then it's still dangerous. It's best to put some electrical tape over the viewfinder or something.