I'm a rabid bowhunter and gear guru and been so since I was a teenager, I think I can help.
There are plenty of good, quality bows out ther for every price range. Consider that the $250 bow today is light years beyond the top of the line from 10 years ago.
I shot PSE bows for many years. Never had any problems and took deer with all of them. Shot an Onieda bow for one season. Sold it promptly. Sounded like a rifle going off and was very heavy. Started out on a Bear Whitetail. I used to shoot squirrels with it at 25 yards all the time in my back yard using fingers and KMart arrows! Graduated to the Bear Whitetail II. Same thing but was a bit harder to shoot with fingers as it was a bit shorter axle to axle. I now shoot a Mathews Q2@70lbs 30" draw a Scott caliper release, string loop, Fletcher Tru-Peep, Gloden Key Futura Premier rest, and an X-Ring stabilizer. yes it is expensive, but it is the first bow that "fit" me well enough to stop trying to find one that was easier for me to shoot accurately.. Interestingly enough I gave my brother my 1 year old PSE Thunderbolt LC and I shot very well with that bow but I disliked the lower brace height. He shoots it very well also.
My best advice is to go to a pro shop and give the guy your price range and try every bow in that arena. You are gonna hear all the stuff like Hoyt blows, Mathews is better, Martin is great Pearson sux, Jennings rules, Golden Eagle is shit and vice versa. Don't listen to ANY of it. Every manufacturer out ther makes a quality bow nowadays and they are all capable of outshooting the beginning archer and all good enough to take deer at all practical archery ranges with ease(practice not witholding).
I do have some suggestions. First buy a package deal if you must but unless you get a good sight and rest you might as well upgrade. Get carbon arrows if possible. Trust me. A beginner with go through a dozen aluminums in short order and carbons are not that expensive anymore. What brand is up to you, I shoot Beman ICS Hunter 400's. Next most important is the rest. If you have a shitty rest that is not adjustable you will have fits getting your arrows to group well, espescially broadheads. The NAP Quicktune 1000 is a great rest and not real expensive at all. Or you can try the Whisker Biskut. My buddy has one and loves it. YMMV. Bottom line is the stuff on the bow is more important sometimes than the bow itself. A shitty rest and you'll never shoot good. Cheap arrows and you'll bend them all to hell real quick. One more thing. Most package deals come with halfway decent sights and that's fine you will have to figure what you like best there, I can't say what the best all around set up because the sight thing is a personal preference. However, you most likely get a cheap stabilizer made from bar stock steel. It serve as only a counter balance and a torque reducer at best. Look into a shock and recoil reducing stabilizer from one of the name brand makers out ther like X-Ring, Sims, etc. These really work and are not gimmick money makers.
Most of all practice as much as possible and become familiar with your equipment to the point where you notice every little detail. This will help you learn what to look for when you get a small noise upon release or a tuning problem that pops up.
Hope this helps.
One more thing. Walk away from any shop that will not let you shoot several models. IM me if you need more info.