Well, if it's an eastern wild, I'm pretty sure in NH you technically have to have a permit to keep it. Most east coast states require it. However, you could probably pass it off as a bronze if anyone asked, the two are quite similar, most people don't know the difference. I have a red bronze tom and people are forever asking me if he's a wild turkey..
On care, they need a relatively high protein feed, as they grow very fast. I feed my entire flock purina flock raiser, in addition to what they forage while free ranging. How old is it? Turkey poults are generally more fragile than chickens when babies and can be quicker to get diseases. Since it's wild, it's probably smarter than domestic ones, but just be aware that they often will not eat or drink from a feeder or waterer until you literally show them how to do it as poults. They fly extremely well and prefer high roosts. They can be aggressive to chickens, and if lonely, a tom will try to mount chickens, which can injure or kill them due to their size. Hens are generally calmer, but aren't afraid to throw their weight around to get what they want. My hen isn't afraid to go after the dogs if they come too close to her haha.
Check to see if blackhead is a problem in your area. This is important, as it will determine if your chickens and turkey can be kept together. It's a rather nasty disease that doesn't affect chickens normally, but they can give it to turkeys, who are much more susceptible.