I just hold it by the leaves in my fingers and take a huge bite of the entire berry with my teeth ending right before the leaves.
I just rip the leaves off, which is very easy with the variety we eat here. I never would have thought to cut them off. Are your two strawberries different?
Same, sometimes this lead to me eating a bit of the leaves, sometimes I leave a bit of strawberry, but no one died yet, so I continue :)