PSE Stinger and Bear Encounter are both good starter bows and quite capable of taking game. Very inexpensive packages out there, Bear Encounter has a new model out though. Bear Encounter is my first single cam bow and love it and shoots well. Very forgiving and accurate. The PSE Stinger is more adjustable in terms of poundage.

I'm starting out with this bow cause it will adjust up to #70, I'm shooting this thing in 2 to 3 inch groupings at ~26 yards (backyard) If all goes well and I continue to hunt, I will upgrade to a higher end bow. You can literally spend a couple of thousand on a bow and setup but I'm not one to do that.

Good luck!