I watch a lot of youtube, but I've also noticed this in movies. North americans tend to put the word "my" in front of stuff they tell you about e.g. "So I've got my grill fired up, I've got my oil heated" etc.
In Sweden we would just say "I've got the grill fired up and I've also heated the oil"
Another example is in the movie War of the worlds from 2005 when Rachel says something like "You should get TiVo, we've got TiVo at home, I can watch all MY shows after I've done my homework"
Note: I don't count "my" before homework, because that seems legit.