I'd agree with the above posts...start looking at bows with "comfortable" draw weights...don't blow your shoulder out shooting a too heavy draw... If you are looking for economy you can definitely check out used bows.
I am a big BowTech fan, and bows can be like trucks as far as this brand or that.... That said I don't know about the other major manufacturers but BowTech has the Diamond line of bows -- their economy bows... Made by BowTech just don't have the logo. Seem to be really good bows and a bit more economical -- they do carry them at Dick's but I have my thoughts on that too
I would highly recommend going to a reputable bow shop over Dick's or most of the other chain discount type stores. What I've seen with folks going to chain stores at least in my neck of the woods is that they get a great deal on the bow, but the retailer doesn't know squat about setting it up. This causes the draw length to be wrong, arrows wrong weight for the setup, poor accuracy, etc, etc... Then folks have to take this deal of a bow to an actual bow shop and drop $60 per hour or more to have it set up properly. If you go to a reputable bow shop to start off they will set it up right, and many times if you buy the bow there...used or new they may set it up for you at no charge. The bow and accesories may cost a few bucks more but you'll have a quality set up with folks that have the knowledge and ability to get you started properly.
Anyway that's my two cents worth...