I have a remington 700, in 270 cal that I have shot everything from caribou to golf balls, and am exceptionally happy with it.
I bought it from wal mart for about 275 about 8 years ago.
I have a Simmons scope (2.5-10X50mm) that goes for about $100.
I am particularly fond of the 270 because of the variety of ammunition available for it.
I handload my own cartriges, so I can load a 90 grain HP for plinking and pasture poodles, or a 150 grain for elk.
I busted my caribou with a 130 grain Nosler balistic tip at 200 yards . 3 inches below point of aim.
Not bad for a wal mart rifle.
But before you grab the check book, check out your local pawn shops. Some times you can get a good deal in there.
Also, consider going to the local shooting range. Most of us shooters are pretty good guys and will let anyone who wants to "have a turn", fire off a couple rounds. Especially if you explain that you are a new rifle shooter and are concerned about recoil and such.
My wife always laughs at me, cause I have abunch of new friends every time I go.