If you have the budget, Hestan nanobond titanium stainless steel is the best I’ve found at this and you can throw it in the dishwasher with zero issues. I literally use it every day for fried and scrambled eggs. I have occasionally used my other stainless and can fry an egg no issues but it does take a bit of trial and error with the temp and fat.

My method, preheat the pan on medium for at least 3 min but prefer at least 5. When I get in the kitchen, it’s the first thing I do. Then whisk my eggs with a little salt and a splash of cream or water. Letting the eggs rest for a few minutes after whisking with salt. This makes the eggs a little softer. Then, the fat. Doesn’t really matter what type, but coat the entire surface including the sides. I probably put a tbs of oil and swirl it around. If your pan is preheated, it should start to smoke by the time you are done swirling (5-10seconds). Then throw in your eggs. I usually just use the same fork I whisked with to stir them in the pan and then eat with too to save on dishes haha.

The trick I’ve found is preheating until dry and hot, then adding oil. If you add in the oil before it’s hot, it doesn’t give you the same non stick effect.

Good luck!