Of course, I do, but not every time. Me moving about with my smartphone charger depends on the distance of where I am going and the number of hours or days I am going to spend there. It won't be reasonable for me to move with my charger to a place I know I won't be staying more than few hours especially if my phone has been charged to the max. And besides, I have one of the most reliable phone with immense battery life.
However, I can only move with phone charger if I am embarking on a journey that would require me to stay more than a day. And I will also go with it if my phone's battery is about to go flat, perhaps there was no power supply to charge it. It's only on these occasions I often move with my phone charger to anywhere I am going to.
On a general note, the issue of moving about with phone charger is as a result of the heavy dependent on our phones with the ceaseless usage of it. If it were to be there is little or no usage of it, let's say only for taking calls and sending or receiving of text messages, there won't be need for the carrying about of phone charger. And partly epileptic power supply in some areas is also another major cause of it.