On my list: a sauté pan.
Yes, a seemingly boring gift. But, I make some sort of an egg every morning,
scrambled, fried, hard boiled (I haven't mastered poaching yet).
I hate to clean my sauté pan. There are screws that connect the pan to the handle, which are impossible to clean, they need some sort of micro-brillo.
This pan from Demeyere looks like it checks off all the boxes: no screws, stainless steel, and at 9 1/4 inches, just the right size for 2 scrambled eggs.
image via williams-sonoma.com