Soundproofing advice needed.

[Brooklynite]

I'm about to try some sound treatment in my NYC apartment. It's a small 10 X 10 room. The walls joining my apartment with the neighbors is very thin and sound is easily transferable from my apartment to the neighbor's. I want to get the best bang for the buck. I plan on stripping the 2 walls that connect to the neighbor's of their drywall so as to reinforce the wall with more studs. (I'm concerned about the weight of any soundproofing materials that I hang) I am then faced with what to put inside the walls before reapplying the sheet rock. I'd thought about using Auralex's "sheetblok" or "DB block" (which are the same thing) on the inside of the wall and underneath the carpet and padding. What other products should I use inside the walls? Any other suggestions would be greatly appreciated.