Im heading home -- Im heading (for,to) my house??

Is "Im heading for my home"
"Im heading for my house"
"Im heading home"

Are they grammatically correct??
How and when will I use heading for or head for?

Im heading to my house - is this also right?
What is the difference,,

Thank you so much!!

The word ‘home’ in "I’m heading for my home." & ‘house’ in "I’m heading for my house." are nouns with some difference in meaning. ‘Home’ in "I’m heading home." is used adverbially with the meaning ‘toward the direction of’. ‘For’ is the usual preposition. You may use ‘head for’ in a future tense like "I’ll head for your place this afternoon."