Good for you! I'm going to guess your left handed? I unclip the left because of winter riding and rain. The slope/camber of the road goes downhill, left to right so I tend to lean in a bit.
I also fell three times in two days back on clipless after ten years. Prior to that, I had fallen in my DRIVEWAY! arriving home after screwing around all day on the mountain bike. That one hurt a bit. broke the elbow on that one but still laughing about the irony while on the ground.

Have fun! It does become second nature. I wouldn't be without my pedals now.