I think they are looking for action... mine always puffed up when people came around, and if we stood outside talking for a while, he'd start sidling over, closer and closer and closer (now I realize he was "testing") and one day he literally humped my friend's shoe!!! Well that was absolutely unacceptable, not to mention embarrassing to everyone...
Well, I came on here - BYC - and people told me to make sure tom knew who the alpha was. The slowly sashaying up to people was saying tom thought HE was alpha. So I had to "think like a turkey" and making sure he knew I was alsph (in charge) at all times. All that meant was that EVERY SINGLE TIME I saw him, I would take a "menacing" step in his direction like I'm bigger than you are. Or I would shoo him away, and the best, was, I would pick him up, walk a few steps and set him down. That told him, I was in control. I never did anything mean to him -- just showed him I could get in his space, but he couldn't get in mine. After 2 weeks, he was still friendly but he got the hint, and never sashayed more than 5-6 feet up to people. If I even gave him the eye, he would back away.
As cute as I *had* thought it was that he came up real close to me, I realized it wasn't good for his health or manners to do that so much. So he still followed me around, but he always kept more distance, like 10 feet or so away.
So.... you have to think like a turkey. But don't be mean to them by yelling or hitting or anything or they will get defensive. Firmness and consistency. Also, I don't know how you would do this with 3 turkeys -- I had only one.