Re: Rifle Match
Check out Creedmore Sports for the coat, etc.
The other thing to look at is ammo, different ammo can make a giant different in group size. I'd recommend trying RWS, Remington Eley, CCI Green Tag and CCI Standard.
My .22 LR personally likes the CCI Green Tags, I can pull 1.1 - 1.3" groups @ 100, and .3" @ 50 yds. for 5 shot groups. I tested an awful lot of ammo before I reached my decision lol.