Like sdb777 said, deer are not an issue. You cannot hold a deer in a leghold traps designed for cats and yotes. It just won't work. Turkeys can be caught in leghold traps but they are normally not interested in your sets. We have tons of turkeys and I have no problems.
Make sure you study your state regulations and gain alot of knowledge prior to trapping. Study the archives, read books, and buy videos prior to setting traps. Take care