The Shimano tune-up kits have all but dried up so I decided to have a go at removing the nasty rattle from my v-brakes.
This method is based on the instructions and contents of the original kits. The only bit you may need to purchase are disk brake rotor spacers. These can even be bought from Halfords if you are desperate. You also need some Superglue; luckily I have some mitre fix with activator to ensure a quick stick.
First step. Carefully take the silver stickers off the ends of the pivot, these can be lifted using a small blade.
There is a small allen bolt that will need to removed so that you can push the pivot out.
Give everything a quick clean whilst it is all in bits. Slide a rotor spacer between the gap to take up the play between the body of the brake and the parallel pivot cage. You can use more than one spacer if needed. This is trial and error but you will need a tiny bit of play left. If you remove all of the play the brake pivot will be too tight.
You can see the spacer in place.
Reassembly is the reverse process. Push the pivot back in, a smear of grease is a good idea. Replace the tiny allen bolt, a tiny drop of Loctite if you want to. To replace the silver covers give the ends of the pivot a wipe to remove any grease left. A few tiny drops of glue and then press the silver end cover in place. Let the glue set but make sure everything moves as it should.
This method helps remove some of the horizontal (squeel causing) movement. Any vertical movement left is down to Shimanos sloppy tolerances that made them bring out the tune-up kit in the first place.