I believe in blackboxes where possible. As a programmer, I want a well defined blackbox which I can easily drop into my systems, and have it work. I give it values, call the appropriate methods, and then get my results back out of it.
To that end, give me only the functionality that the class needs to expose to work.
Consider an elevator. To get it to go to a floor, I push a button. That’s the public interface to the black box which activates all the functions needed to get the elevator to the desired floor.