brakes, compensators, and flash hiders

I just ordered a Savage 10 P-SR (18" threaded bbl). I'm looking for something to put on the end of the barrel, if for no other reason to avoid wasting those threads. I know that I don't want a sound suppressor at this point as I'm not interested in registering. I do understand the basic differences between a compensator, muzzle brake, and flash hider, but beyond that I'm not sure what I want/need. What I do know is that I'm not willing to sacrifice any precision for whatever I get as the whole purpose of this rifle is to have something to improve my marksmanship with. Also I'll mention that I'm wanting to stay under $150 and would like to be under $100 for whatever I get.

I guess my first question is are there flash hiders that won't hurt the precision of the rifle?
Also do brakes and compensators improve the precision, or just the recoil? Are there ones that won't make me that guy with the loud rifle at the range?
Any other input is greatly appreciated as well. Thanks.

The Vais style muzzle brake is reported to be one of the more quieter muzzle brakes on the market (quiet being a relative term). Clamshell and JP brakes are much more annoying to other shooters ears.

http://www.muzzlebrakes.com/

I've seen several Vais copy cat's out there for less $$$ than the original.


http://rvbprecision.com/shooting/adv...le-brakes.html

I think this is just a reprint with pics...
http://bulletin.accurateshooter.com/...by-bertalotto/

Having gone from shooting without them, to now using them, I must admit I really like them now. To anyone that complains, it's a shooting range, it's gonna be loud!


-Rick