mine goes around my neck when going in, usually on the cot on the way out. i will NOT use one of the ones on the rig. i have never seen them clean, and when i cleaned them the pads came off black. and the scope turned out to be blue. gross.
In my bag most of the shift ( it's a personal Littmann and I'm pretty forgetful so I never leave it on the back of the cot, lost my gloves already.), around neck for the first half of the calls, and I'll usually take it off as I walk to the drivers seat on most calls and throw it back in my bag. I may skip this step if I'm on a 1.
The bell/diaphragm can get damaged if it's in a cargo pocket, so I usually keep it sitting on the clean gurney in between calls. I put it around the shirt collar going in, then clean the whole thing with prep pads after every pt contact.
Maybe this will be the dumbest comment, but oh well....Does it really matter? If you prefer it around your neck, then so be it, if you prefer it with your gear..so be it. Personal preference is different for every one and every situation is different.
I always carry mine in one of my cargo pockets. The around-the-neck carry is too dangerous- much to easy for a pt. or somebody else to grab ahold of it and jerk you around. Happened to my assistant instructor once; seeing that was enough to break me of the sling-it-around-your-neck habit. It doesn't take any longer to pull them out of your pocket and it offers you a bit of protection; 1 less thing that could endanger you. Plus, I think it keeps them looking nicer too. And those whackers you meet in public won't come up to you and ask for a blood pressure check just so they can see inside your ambo. actually the last part is something like I would have done a few months ago. I think we all go through that curiosity stage that precedents the development of our self-concept as EMS providers. just a little psychology/sociology here.