Like pp, try eating each veggie in a different way. Grilling, roasting, broiling (really quick), steaming, boiling, braising, stir-frying, baking, marinating, etc are all different ways to 'cook' different veggies.
Also, don't be afraid to put butter, olive oil, cheese, etc on them for flavoring. In fact, you want to eat your veggies with fats so that you can absorb the fat soluble vitamins in them. In fact, if you look at traditional preparations for veggies worldwide, they are eaten with some sort of 'dressing' (fat, etc), rarely raw. In fact, I HATE raw veggies. I just won't eat them. But cooked, yep.

Oh, and if you don't like a veggie one way (roasted, for example) you might like it prepared another way (like boiled, in a soup). I thought I HATED brussel sprouts. Turns out that if they are drizzled in a bit of butter (like 2tsp), sprinkled with salt & roasted in a hot oven (400* plus) or a HOT cast iron pan, until the top leaves turn dark brown, they are DELISH!!!

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As for your little one, give her well cooked veggies, plain or not. I started ds on well steamed broccoli (my fave) & broiled asparagus with olive oil & salt. As long as it's soft enough for them to gum it to a mash, it's fine. ETA: And the whole children don't like veggies is crap. As long as you don't make a big deal about it & they see you eating it like it's normal, they'll do the same.
Ami