While reviewing grammar, I came upon this sentence: "I was able to inspect the apartment without his noticing the movement of my eyes."
However, this phrasing seems awkward, especially the "his". I feel like one of the following two changes would be more grammatical:
I was able to inspect the apartment without him noticing the movement of my eyes.
I was able to inspect the apartment without his noticing of the movement of my eyes.
Are either of these two more "correct"? Or are there any other better changes?