In my case, I don't think environment has played much of a part in my children's eating habits.
S LOVES fruits and vegetables. In fact, when he was young and those silly hidden valley commercials would come on, S would ask me if we could go there. He will try anything once and usually likes most of what he tries.
M is pretty typical for 3. He's not very adventurous and can be picky, but he is overall a decent eater. He won't necessarily try anything put in front of him and often times just the look of something will turn him away.
K is HORRIBLE!!! She won't eat anything. From the age of 12 months to about 3 I kept a list of things she would eat. For about 18 months her list had less than 10 items on it and it included beverages, foods and condiments. I later found out that she would have actually qualified for food therapy. Her list has grown but she is still terribly picky. She makes her own supper most nights - because while I will alter what I'm making to a degree, I do not make a whole other meal for her. She is on multiple vitamin and calcium supplements.
I have talked to a few people about K and while they give me great suggestions, nothing has drastically changed. She had excessive vomiting as a baby in addition to mind numbing colic. She also tends to have a slight sensitivity to milk products. There is some link to babies who have severe colic and later in development refusing milk (dairy sensitivity) and fruits (high acidity) so that might play a role in K's eating habits now.