My eyes move around the person (like maybe above them or next to them). Maybe I'd look just look away for a quick second or look at their features like their lips or nose

and then look back into their eyes.
When I'm with someone comfortable with, I can look into their eyes. Like family members or my boyfriend.
I find it so awkward to keep looking into people's eyes. Once, in secondary school, this drama teacher was like, 'LOOK AT ME WHEN I SPEAK TO YOU!' and I felt so awkward

I don't know how actors and actresses do it.