How to pump a bronze halberd along the path of lightning. (Dark Souls)

I apologize in advance for wasting your time asking a possibly stupid question.

But I myself was completely unable to figure out what kind of coals you need to have, which blacksmith to contact, up to what level to upgrade weapons using non-specific titanite (up to +5 or higher), and how to use the menu when talking with a blacksmith.

In general, such a case. Tell us in detail how to solve this problem, so that finally.

And yes: specifically a bronze halberd and specifically along the path of lightning - this has already been decided.