I can't say, awsum walktrhough, but I trust you say the first things for fun right?
Also, I decided to write a Pyro walktrhough because I have much time and I do not know what to do...
The pyro, is a class with multiple advantages:
1)He is fast. Use this to run back to your teammates if you think you will die. This is usefull when you face soldiers end demomen because they can't shoot you easily.
2)Incinerating spies. This is one of the things YOU ARE SUPPOSED to do as a Pyro. When you see any teammate who is suspicious or when you hear spy, start dancing with your flamethrower. You will get him if he is close.
3)Your secondary weapon:
3a) The shotgun. This is a moderate weapon that can be proven usefull when our opponent retreats beyond the short range of your flamethrower, and you want to finish him. It is an achievement too. Also, it is usefull for facing enemies underwater or scouts incinerated or not. Shotguns are always the best weapons for scouts.
3b) The flare gun: This is a long range weapon. Best suited to large groups. While all your team fires at the enemy group, throw a flare or 2. Incinerating enemies is very useful because they take damage and damage both by you and your teammates. It is very useful for facing for e.x. incinerated heavies because the minicrits can finish them quickly;)
4)Teh flamethrowers.
4a)The Backburner. This is simple. Try to be sneaky and crit your enemies from behind. It certainly kills them.
4b)The flamethrower. THIS, except fire has airblast. THe uses of the airblast are:
1.Pushing back grenades, stickies and rockets.
2.Pushing back uber enemies so you slow them down.
3.Helping burning teammates by pulling out fire.
4.Helping your teammates against crit rockets which is in different category than 1. because it is EXTREMELY LETHAL.
5. If you can deflect sniper arrows.
6.Pushing back enemies when they are about to kill you.
Also, with the flamethrowers you can make sniper arrows burning;)
5)The melee weapons. The fire axe, is a standard melee weapon which is faster than the shovel and it is a good ally at suden deaths;)
The Axtinguisher is a bit tricky. It has lowered damage against non buring opponents but crits against burning. So, this is my advice. When you see an enemy(I mostly do this to heavies) burn and slash them BUT, you should burn them with the flare gun because imo the flamethrower makes moar sound and when the enemy heavy who kills all the others sees a massive loss in his health he retreats. But with the 35 dam of the flare he continues trusting his medic. Also, you can flame enemies, airblast them and slash them but THIS is a bit difficult. That's it for pyro:D