My kids are 1, 3 and 5. Kids definitely feed off of what we as parents do. We try to limit the amount of "screen time" for our kids to 2 hours per day. It isn't just tv anymore. My 1 year old can open my iphone screen, find my photos and videos, and entertain herself for about 30 minutes doing so. Our pediatrician thinks that "screen time" is the 2nd biggest challenge for raising healthy kids. The first being their eating habits.
Think about home much time you spend with tv, phone and computer at your house. The summer isn't too bad because we can be outside till 8, baths, snack and 1 show then bedtime. It is the cold-weather months that are the challenge. What to do with the kids as the weather turns?
In terms of foods, we try not to keep too much bad food in our house. We encourage the kids to try new things. Last night I made spaghetti squash and my 5 yo ate it all. My 3 yo old not so much. And read the nutrition labels on some of the drinks they produce for kids!! Some have 27 grams of sugar per serving.
It is tough. The easy thing to do is to put the kid in front of the Ipad or Iphone and turn the O's game on and relax. That is why this site is so awesome for me to keep up with the events.