Do you have an adult to take you to store, teach shooting, and safety? Some clubs have youth programs.
Be certain you have the proper training and follow the safety rules....Most states require a hunter safety course, if your doesn't it is still recommend.
Handling a gun is an adult responsibility, seek assistance from an experienced adult individual...Be safe and Have fun. Hunting can provide many years of fun and challenges....
I would suggest a 20 gauge, full choke, single shot, used shotgun in youth model size, if you are average size for a 13 year old.
20 ga. doesn't kick much.
full choke is needed for turkey.
single shot will make you learn to take only good shots
and a youth model so the length of pull is correct and you can quickly and safely shoulder the gun.
A used gun because it is less money and you will soon grow out of it.
Being 13, and if you decided to go with a 12 gauge, then I would definitely get an autoloader, which will help reduce a lot of the recoil.
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Remington Model 11-87 Premier 12 Gauge
Remington Model 870 SPS-T Camo Thumbhole 12 Gauge
Ruger M77 Mark II .270 w/ Nikon 3-9x40 Buckmasters
I think it has to do with how much experience you have with guns. My first shot gun I got was a NEF single shot 20 GA. when I was 11. It was a pretty good gun for me at the time. But last year when I was 13 I got a NEF pardner pump 12 GA. this worked out preety good for me. I shot a turkey anda deer with it but It doesn't kick much. It is really heavy though weighing about 7 pounds.
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''... there's more fun in hunting with the handicap of a bow then there is in hunting with the the sureness of a gun.''
Fred Bear
You won't feel any recoil when you drop the hammer on a turkey.
I was shooting a 12 gauge when I was 11. I think if you get a 20 gauge now, you'll be ready for a 12 gauge by Christmas... I would get a 12 gauge. On turkeys the advantages are huge. Not saying a 20 can't do it, but I have yet to see a 20 gauge deliever more than a 60% pattern past 30 yards with a turkey load. I've shot lots and lots of them. They are 30 yard guns MAX.
I'd look for a good condition used Remington 1100, 1187, or a Beretta 390. I saw a few Berettas for sale in the local gun shop for under $450 in great shape.
__________________ You get what you put in, and people get what they deserve. - Kid Rock