I made a new character and at the beginning I was hoping on getting the Black Knight Halberd. I didn't get it. So are there any other good weapons I can get this early on in the game?
Get the normal halberd and make it at least +4 lightning. It'll kill everything on NG. On your way there do the drake sword or make a suicide run to the small and large embers and then you can upgrade any weapon you want.
Off the top of my head there's the Claymore, Winged Spear, Zweihander, Estoc, Uchigatana (If you're willing to kill the male undead merchant), Balder Side Sword, Gravelord Sword, Great Scythe, and probably a few others that I'm forgetting.
YOU PAID FOR THE WHOLE SEAT, BUT YOU'LL ONLY NEED THE EDGE