Need help with LP cartridge choice.

I just bought a TNT V and JMW 12 arm by VPI and am astonished at the quality of this table. BUT! I am saving the cash for a good cartridge and I am new to vinyl. I mounted a Grado Signature JR MM (not real expensive, but ok) and I am playing NEW classic records pressings of Miles Davis and I get a ton of snap crackle and pop. Use a carbon fiber brush, static gun and wash and still this thing picks up every bit of pop on a record. I have a friend who has a great table set up and his plays as quiet as digital with the sweet sound of analogue. Dose the cartridge make that much a difference in the "cleanness" of the sound? I am pretty sure the set up is right. Vertical, azimuth, Tracking force and antiskate set as specified. Is there a cartridge out there that is good at keeping the popping to a minimum and why? Thanks for your help.