Wastednights, seasons start around this time of year and go for a month or so depending on which state you are hunting in. The team thing is just game here on this forum. We form teams and post our birds as we shoot them just for fun. We just play for bragging rights, no prizes.
As far as permits go, each state varies. You will need a hunting license and/or a turkey permit wherever you plan to hunt.
here are some mounts and fan displays at my in-laws' house.