I would get Windows home as Windows EDU licenses have use by dates where after the date, they deactivate themselves. Most people who use EDU get it through their schools and the licence only works for 6 months after they leave. Home has no such restriction.
Its up to you, if you can get a license through school at least its free until you leave the school.
Otherwise, Home is easier. You don't need everything that EDU provides for a gaming PC. You should download a Installer for home and install that on PC as you cannot downgrade install from EDU to Home, any other way.