Also, learning to cook them properly and prepare them in new ways will help. You are also working against yourself in that you have already established mentally that you don't like them, and have set your goal as trying to "learn to like them." This is working from a negative position, a position of disadvantage to achieving your goal. Change your thinking--instead of trying to "change your dislike for vegetables," try restating the goal as simply learning to appreciate new foods, vegetable or otherwise. Trying to just eat them raw and individually, and choke them down, will make it harder.
Try preparing them in actual recipes, as part of a meal, eating them in combination. Try a ratatouille with baked chicken breasts, or sauteed in a stir-fry with beef, chicken, or pork strips. How about sauteed in fresh herbs and then incorporated into a frittata? Salade nicoise (or just "main dish" type salads in general: chef, Cobb, etc.) provide more delicious flavors and textures than, say, just carrots on their own. Try spreading herbed cream cheese into the hollow of a celery stalk, or dipping carrot slices into tahini. Roast some bell peppers and mix them into an omelette. Make little "sandwiches" out of cucumber slices and smoked salmon. Chop bits of celery, spinach, and green peas into tuna salad. Wrap curried chicken in butter lettuce leaves for a tasty wrap. Coarsely chop cooked shrimp, tart green apple, and avocado into a chunky salad and drizzle with a mixture of mayonnaise, organic ketchup, rice vinegar, and Sriracha hot sauce.
When eating vegetables, start by taking it slow. Appreciate them with all senses: enjoy the color, the fragrance, the various textures, the sound of the crunch. There is so much more to eating besides the taste!
Hope that helps.
