Some good comments here, but a "good" rifle is a very individual thing, a subjective choice. Best thing to do is go to a store or two that has a large selection of various makes. Pick a time when they're not too busy. Try out different rifles - check out the
"feel" of the gun, the balance, the safeties, etc. Put 'em to your shoulder, and see how it fits you. Pick the one that looks good to you, and feels right. Then choose an available chambering in that model.
For me, I like the Ruger 77, Winchester Featherweights, and the Remington 700 Mountain rifles. All are available in .270Win., a cartridge I would recommend for your
intended use. Of course, they're also available in .243 if you want to stick with that.
My choice, one I own, is the Rem.700 LSS Mtn. rifle in .270. I put a Leupold 2-7x scope on it. Great shooter.