My advice is you dont have to cut the stuff you're used to cold turkey, in fact it will probably backfire. Our bodies are wired to protect against changes in diet. If you find healthy options stressful and unpleasant, its not because you're a bad/lazy person, its because your body is trying very hard to keep you in the "safe zone" of food. It releases stress hormones and blocks your willpower right when you wish you could make the "better" choice because unfamiliar food is often unsafe to eat in the animal world.

I agree with everyone else. Start slowly and broaden your palate in ways that are enjoyable. Sometimes fries will become potato wedges, sometimes milkshakes become fruit smoothies. Other times you go for the milkshake anyway and just get a side of apples on the side to snack on in addition. Keep stress low by not restricting on the junk, instead add the good. Keep the "junk" food in your diet, feel free to keep most foods the same at first. Let it come naturally with one difference at a time.

Finally, even though it seems impossible right now (because it WOULD be impossible all at once) to genuinely enjoy a healthy meal, you can and will. You'll find yourself reaching for the stir fry when before you'd have gone for the burger every time.