Before you dial a number, type in *67, that blocks the other number from seeing who is calling. However, keep in mind that this has to be done before EVERY call. At this time, that is all I am personally aware of.
There should be a way to set all your outgoing calls as private through your MyVerizon account online, but I don't remember the exact steps.
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.
The note 4 has a setting for this.
Ooen the dialer app. Tap the menu dots. Select settings. Select Call.
Select 'more settings'
The first option is "Show my caller ID".
Tap to change. If you change that setting to "Hide..." Your number will not show to people you call.
I followed all your steps but when I get to more settings the only options are tty mode and hearing aids
To set it in My Verizon, click on the menu (3 lines top left), go to My Profile & Settings, on the drop down, choose Manage Share Name ID, enter what you want to display on the receiving caller ID. Click Update. Your changes will be saved. It could take a few minutes for the change to take affect.
Are you running lollipop?