This is the method that I prefer;
Starting image:
I roughly cut out the background:
Then I use <
Blending options> / <
Stroke> (1 pixel / red):
I then adjust the size of my <
Eraser tool> (Opacity 100%)
And cut the head out by hand:
Blue arrow - You can see when you make a mistake with cutting
Green arrow - You can see when you forget to erase a bit of the background
I then proceed with cutting, adjusting the size of my <Eraser tool> when needed
untill I'm happy with the result.
Don't forget to turn off <Stroke> before you save the .png image!
This is my personal favorite method that works for me.
I'm not saying this is the best way.
It may be a bit time consuming,
but I get the best results with this method..
PS: This is a quick example, so don't attack me for the hasty cutting...lol