How to change name of HD / name??

newbie to Mac here (just switched from PC to new MBP!)...

just wondering how you change the name of what i THINK is the name of my HD?

i already when to system prefs and changed the name in the sharing folder, but i want to change the name of my "house icon." currently it has my first and last name next to each other and i'd like to change it.

here's a screenshot, i want to change what's blurred out: