There are dozens of videos out there about changing a flat tire. None with background music by Sonny Stitt. Here’s one!
A couple of things. Notice that I just lay the bike on it’s side with the derailleur up. That’s an easy way to do it when you’re on the side of the road. Also, I shift the chain into the smallest cog. When I put the tire back on it’s easy to remember what cog to put the chain over so that the wheel will be centered.
This is what I carry on the bike to change a flat:
Pump. I use a Zefal HPX frame fit pump. This pump is all aluminum and the barrel is long enough to push a decent amount of air, so the tire is up to pressure relatively quickly. Plus, unlike CO2 pumps, it has never failed or frozen. It mounts to the underside of the top tube
on bikes that have a pump peg.
Or it can be mounted in front of the seat tube, but this precludes the use of a water bottle there.
Spare tube, tire levers and patch kit. The simplest and quickest way to fix a flat is to change the tube. But I only want to carry one spare and if I get another flat I need to be able to patch one of the flat tubes.
Seat bag. For shorter day rides I use a Zimbale leather saddle bag to carry these items plus a multi tool.