So let me keep this really simple.
1. Make a salad and eat your veggies raw.
2. Roast them. Pretty much any veggie can be laid on a baking sheet, drizzled with olive oil, sea salt and pepper and roasted. I usually roast for 15 minutes on 450.
There you go. Now you have no excuses. It's time to a grown up and eat your veggies. It will take 15 minutes.
Eat them every day. Eat a variety. Keep trying new veggies and ones you haven't had in a while until you like them.