Offer them the veg and say if they try it they can have fruit. It's a fine line with bribery but I find that if I give DD berries right off, she'll eat nothing but. If I say she can basically have them for dessert if....then she'll eat her veg. She doesn't eat all veg. The other day she did not want a tomato, but she happily ate sugar peas and lettuce. If they don't like one version, try another. I don't like candied carrots and DH doesn't like them cooked. If I make carrots, I cook some for me and let him eat them raw. Broccoli goes well with cheese. DD does not like salad dressing or iceburg lettuce, but she will eat romaine and leaf lettuce. Give them non-dressing or non-sauce options, too. Maybe that's the hangup.