I USED TO HATE EGGS TOO! I hated all the things you hate about them. I have learned to tolerate them well, and even enjoy them to some extent. My theory was this: a baby has to try something 10-15 times before you can actually tell if he/she dislikes something, and is not just rejecting something new. So I figured, same for me.
Easiest way: medium boil eggs (if the yolk has a green edge around it - it is over done). Then, slice them up and mix them in with your salad. Start with one. You will hardly even taste them. I have learned that I like yolks this way and that the white parts are the parts that taste the strongest.
Buy FRESH LOCAL eggs! It makes a major taste/health difference.
Make homemade mayo with raw (only if fresh/local eggs) egg yolks in it (oil is olive, bacon fat, or coconut butter), and make some tuna fish with the mayo. Keeps for about a week in fridge. Make some chicken salad with it too.
Then: move on to other egg dishes. I can't eat eggs plain. I have to cook them in ghee (2T), about three eggs, along with a saute mixture that I keep on hand (bell peppers, onions, squash, garlic, mushrooms), and warm a little up every day. I then eat one small bite of egg on a fork with some veggies on it to cut taste/texture. It works. So does tabasco. Or cheese if you do dairy (I don't).
P.S. I can only stand about 3 eggs scrambled per breakfast. HAve some meat along with veggie mixture too (broken up sausage).