Hello. I was reading tutorials about flames but I still have no idea how to get them. I'll have like 60k in 2 days, so can anyone tell me step by step how to buy flame?
Cause, there is some "Flame" in tori shop for 10k, some people sell flames, all those particles, forging and so on. Is it similiar to head texture or what?

That "Flame" In tori shop for 10k is a flame particle, which edits your forged/bought flame.

So, do I need it to have a flame ingame on multiplayer, that everyone can see it?

No
It just edits it as i said
If you use flame particle without flame there will be no flame :/

Dang, I still don't get it. If I'll buy one of those http://forum.toribash.com/forumdisplay.php?f=366
Do I need to have that Flame thingy from tori shop or just this what I bought from other player?

No, you dont.You just need to buy any flame from other player or forge your own.
You dont need flame particle to get a flame
It just edits it.

Oh, that's really good answer, thank you B4shata. Btw, can I edit it whatever I like to or what? Like I'll buy black flame, I can change it to red or what? I mean with this Flam for 10k from tori shop

You can change its color. But it doesnt mean that you can make the particle just red, try some colors. Only if you bought a white flame it can change color to whatever.