Hey Little,
I am gonna give you a few good bows that are priced on the lower end, don' t just buy one, like the others have said, shoot them and determine for yourself.
Matrin Tracer Mag (roughly 299.99-319.99)
Hoyt MT Sport (279.99-329.99)
Browning Tornado (299.99-319.99)
BowTech Stalker (389.99-409.99)
There are many more ,but these are some of the bows that I really thought were great bows.
Also, don' t get caught up in speed hype (sound contradicitng since I have a BowTech MightyMite on hold at the pro-shop

)
I own a Hoyt MT Sport right now, and, I am pulling 244 f.p.s. with it. More than enough to kill a deer.
Read as much as you can about archery hunting, and prepare yourself for it, it is alot different than rifle hunting, and, you need to know what you are getting into.
I would say that this summer, try to take a treestand into the woods and set up in an area that you probablly won' t archery hunt. Wait for deer to come in, then, act like you have your bow with you and you are hunting. When the deer comes in, prepare for the shot (stand up), go through the motions of bringing up a bow and coming to full draw, act out the release, ect.. This will give you an idea of what you are going to be doing when you actually have a bow in your hands.
I might add more to this later, but, I gotta go to work now.