Anthony said:
What are the pros and cons of each muzzle attachment?
A flash suppressor reduces the bright ball of flame that shoots out of the muzzle when you fire (especially in a short barreled carbine). This is most effective at dusk, dawn or night. You probably don't even notice the "flash" of the fireball in bright sunlight. Flash suppressors really don't have any drawbacks except that they add length to the rifle and add a little weight to the end of the barrel.
A muzzle brake redirects the muzzle blast to the sides, also sometimes up, and down(depending on the design). This uses some of the energy of the muzzle blast to reduce recoil. However, because this blast is redirected to the sides and back, muzzle brakes have the noticable drawback of greatly increasing the felt pressure wave and noise to those at the sides of the rifle and in some cases to the shooter.
Those brakes that redirect the blast up are often called Compensators, and they reduce muzzle rise. Compensators are mainly used in semi-autos to allow for quick follow up shots.
If you don't plan on shooting the rifle in the dark, then you won't find the flash suppressor as useful as a brake. Reduced recoil is always nice. However, please be considerate of those you shoot next to.
I have a 17" barreled FAL with a brake (same caliber as the AR10) and another 18" barreled FAL without one. The brake very noticably reduces felt recoil and it only sounds a little louder when shooting the rifle. However, if I let a friend shoot the rifle next to me, the pressure wave off the side of it can actually get painful after a while, even with double ear protection.