Wgp cockers are nice and cheap. Ans as well. If your willing to drop a bit more you really can't go wrong with a ccm s5, they shoot smoother and weigh less and can be had around 400. Really anything that isn't a psychbalistics, 32 degrees, system x and a few others that slip my mind at the moment. Get a post 2k they tend to be a little more user friendly but since you want center feed it will most likely be a post 2k by default. If you can live with right feed I seen a few shocktech's for under 200 lately and shocktech makes some just dandy cockers. It's up to you really. First time I'd stick with wgp though. Better cockers than they ever got credit for, just pick slide frame, hinge or eblade. Happy hunting.
Autocockers are not more accurate, I'm just more accurate when I shoot autocockers.