#1 determine you
TOTAL bow buget. This will include bow, sight, rest, stabilizer, quiver, arrows, broadheads and any of the other little accessories such as limb savers and such. This is the absolute biggest hurdle to figure out.
After that shoot as many bows in your price range as you can.
Things to look for are.............
A narrow grip. the narrower the grip the less contact you will have with the bow and the less torque you will introduce to the bow while you are holding at full draw.
A generous axel to axel length of 34 incles or longer. You generally do not want a very short bow to start out with. The shorter the bow the easier it is to jerk, pull, or otherwise move the bow when you are shooting. It is also a lot easier to hold a longer bow steady than it is a short bow.
A generous brace height of at least 7 inches. The longer the brace height the quicker the arow gets off of the string and the less influence you have on the arrows flight.
A smooth draw cycle with a generous valley and a good solid back wall to pull against. You do not want the bow to build power too quickly (steep power curve) as this will be dificult to draw back when the weather gets cold. Same goes for a bow that has a very short valley. If you creep foward even a little bit you may have an accidental shooting or pull your arm out of joint (at least it can feel like that).
Don't get all worked up about speed. Speed only makes you miss quicker.

Usually to get speed a bow sacrafices forgiveness in other places. There
are a few bows out there that are able to offer great speed and still remain a forgiving bow.
If you are going to want to shoot the bow at 60 pounds, which I would reccomend, then you will get better performane from a 50 - 60 pound bow maxed out than you will a 60 - 70 pound bow backed off on the weight.
To determine how much weight you can draw comfortably sit flat on the floor with you legs crossed (indian style) and hold a bow straight out in front of you. With out lifting the bow at all draw the string straight back to you. If you can do this three times or more than you can pull that weight comfortably.