Do your homework and talk to some people, both hunters and gun dealers. There are a few favorites for someone in your position. One of the best for someone like you, IMHO,is the Remington 870 Express, either 12 gauge (recommended) or 20 gauge. Get one with a screw-in RemChoke so you can adapt to whatever game you're facing. You can use a Improved Cylinder with rifled slugs for deer, out to 50 yards on average, 100 if you're a good shot. Later on, you canput in a good turkey choke and pattern out to 40 yards when springtime comes around.

Good luck to you, and happy hunting!