1. I got out of the house at 9 A.M., and I got here 5 minutes ago. 2. I left the home at 9 A.M., and I got here 5 minutes ago. 3. I headed out the door at 9 A.M., and I got here 5 minutes ago. Which one is more common than the others?
I left home at 9 A.M. and got here 5 minutes ago. I headed out the door at 9 A.M. and got here 5 minutes ago.
None are particularly idiomatic. I would say "I left home / I left the house at 9a.m and arrived/got here 5 minutes ago.
Having begun with "I" there is no need to repeat it. We avoid repetition where we can, so 3. "I headed out..." is better because it does not repeat "got" An alternative would be: "I set out [from the house/from home] at 9am and got here 5 minutes ago." Note - "the home" suggests an institution, such as nursing home or an orphanage.
"I got out of the house..." - it sounds as though it was difficult to get away. Perhaps you were delayed by phone calls, or you were rather late getting yourself organised that morning. "Headed out the door..." - it sounds a little strange to me if you are describing a routine departure from home. Maybe you were upset and made a rush for the door, or anyway you left hurriedly . We usually talk about being headed for (towards) a destination: I left home and headed for the train station. "I left home..." sounds neutral, unlike the other two versions.
"I left home" carries a slight hint of a permanent departure (such as when you're moving out of the parental home into a place of your own, for example: "He didn't leave home until he was 38"). Unless context clearly excludes that possibility (and probably otherwise too), I'd say "I left the house".
I have no qualms about saying: "I left home this morning at 9 o'clock." I don't think they would send out a search party if I said it on the phone.
