Over discharging a LiPo WON'T make it explode.
Charging it AFTER CAN make it explode.
Discharging a LiPo ABOVE the RATING (say 10-12C) will make is swell. Too much and it can explode.
Charging a LiPo with the WRONG charger or TOO FAST (too much amps) WILL make it explode.
Basically, you won't blow your face if you over discharge, you will just blow your battery good bye.
www.hobbyking.com (also known as unitedhobby or hobbycity) has the BEST selection of LiPo packs you can find online. The crap that cheapbatterypack sells is just crap. The pack you will find on hobbyking.com are worth around twice to 3 times the price in a hobby shop, and they are top quality.
Zippy packs (Rhyno and FlightMax series) are perfect for airsoft use.
I also found a source for true 20C 1200-1400mAh buffer tube stick packs, in 11.1 and 7.4v. Theses won't swell when used in 400 fps rifles (happened a few times to a friend).