One thing to consider is of course price (seen them new for $50.00 up to $299.00 locally), and also what you expect from it. If you want to just know whats out and about, then some of the cheaper ones will usually show enough quality to see horns, or at least what kind of animal it is...bear, coyote, etc. If you want better picture quality then you need to look at the ones that are in the upper areas of price.
Another consideration is what you are doing with it. Is it going on a trail set with animals passing by or static site like a bait or feeder station where they will be lingering around it. This is where trigger time will be a consideration. The lower priced ones tend to have slower trigger times, and there is a possibility that on a trail set, the critter could triger the sensor, but walk out of the picture area before it goes off.
I use the Primos Truth Cam35. I am very pleased with the performance and picture quality. Seems to have decent battery life so far (4 size "D" batteries). I have found them running between $89.00 - $109.00. They have a fairly fast trigger time (rated at 1.5 seconds), and can take video also. It is also the IR flash style instead of the bright white "Flash-bulb" type, which can help to keep them from being found because of the visible flash.
Here is a picture of a coyote I caught with it. It was on a trail that is in fairly heavy/dark timber (very low-light conditions). I was not the least bit disappointed with the picture.
If you haven't already, spend some time cruising through the forum here and look at some of the other's pictures and most will also have the camera info in there. That way you can get a better idea of what camera does what and the results to expect.
Good luck, welcome to the site...now get yourself a camera and lets see some pictures from your neck of the woods!