1. For the love of yourself, please wear nitrate/rubber mechanic's gloves. All that brake fluid and brake cleaner isn't healthy. Trust me.
2. When you want to change the brake fluid, don't just open the brake bleeder like he did and let it drip out.
a. attach the hose and the wrench.
b. when you open up the bleeder valve with the wrench about 1/4 of the way squeeze the brake lever. You will see brake fluid coming out of the hose that you attached. Now, without letting go of the brake lever, close the bleeder valve completely.
c. pump the brake lever a couple of times. Now without squeezing the brake lever open up the brake bleeder valve and then squeeze the brake lever, again you will see brake fluid coming out.
d. Repeat this process, but make sure to refill the brake reservoir on the handlebars with new brake fluid from a fresh sealed container. Always use freshly sealed brake fluid. Once you open it, you better use it.
e. You want to make sure that the brake fluid level is always about 75% filled up so you don't let air into your system. It's a bitch to pump it out later, once you do have it.
Changing brake pads.
Buy some caliper grease.
link
Now, I never do a brake job ie. change brake pads without using brake caliper grease. It does wonders to get rid of vibrations that cause that brake screeching noise.
When changing your brake pads. Just take them out. Clean out the caliper with a tooth brush and some brake cleaner.
Use brake cleaner to clean the pads as well.
Put a on the back surface of the new brake pads (the side that doesn't touch the rotors). Brake caliper grease is very thick so you don't have to use a lot of it just get it smeared evenly. Use your finger to apply a smooth film like surface.
Install the brake pads. Make sure not to forget the little PIN that secures them in place.
HOWEVER, before installing new brake pads.
Get some very fine sand paper. Something very fine and not too harsh. like a 1,000 grit sand paper. you can use some water for dipping of the sand paper as you scuff the rotors. Basically you are de-glazing them from contaminants. Use brake cleaner on the rotors to clean them completely after you are done scrubbing them.
Re-install everything.
Done.
EDIT:
I just realized that he has a second part to the video.
His little pump thing seems interesting but I never tried that. Essentially what I do i just flash the system with new brake fluid. So maybe like 5 complete fill ups of the brake reservoir before the fluid coming out of the bleeder valves is clear ie the new one.
Anyway. Hopefully that helps you a little more.