Okay, pjmiller, I can't see anything that specifically references domesticated turkeys in Provo's city code. Here's the link:
It outlines chickens pretty clearly and prohibits feeding wild turkeys, but nothing about domestic turkeys. It does say that chickens may be kept only for eggs, so it might not be a bad idea to have a private area to butcher your turkeys when camp day comes up. I would still contact someone at the city and ask them specifically if there are any prohibitions, since chicken keepers are required to register with the city. I don't want to get you in trouble. But in a nutshell:
Section 8.02.020 says the animal(s) have to have adequate shelter, food, and water.
Section 8.02.100 says that they can't be a nuisance animal, which means if they're making a lot of noise or stink really bad. You'll also want a pen for them so that they don't wander in to neighboring yards.
Section 8.02.110 reiterates that animals need to be penned and not in someone else's yard.
Section 8.02.120 says you need to keep the animal's pen clean.
Section 8.02.190 is the section on chickens, if you need it. It dictates the square footage required for the number of chickens being kept. The minimum is 6,000 sq ft for two chickens. I'm not sure how the city would calculate the size requirements for a larger bird like turkeys. Again, you'll probably want to talk to someone at the city building and ask them specifically about requirements or restrictions.
And like Sundancen said, some turkeys don't mix well with other animals, so you'll probably want the pen to be separate from where you keep chickens or ducks or that.