Sunshine if you are ...of course eager to avoid food issues... I would do a bit of reading about what affects people's attitudes to food. I feel that being quite restricted or controlled as a child with regard to food may affect later view to food. I may be wrong.
It is not just what you give them but when you do not allow and the messages that go with food. I am a great fan of fruit and yoghurt but I feel your thinking about breakfast is not very healthy generally.I am not sure how old your kids are and mine do not get a massive choice for breakfast so I am not being critical of the actual fruit and yog thing but of the lack of variety. Food is a hugely difficult area for so many people.
I am no expert and so please do not feel I am being negative. If you wish to read something this is quite interesting, interesting for me too! I am guilty of trying to get my son to eat veg, something new for me as my dd loves it but ds does not!
edis.ifas.ufl.edu/fy1059
The bit I felt was relevant here was...
Restricting Access to Food
"You can't have any more or you'll get fat."
"That food is off limits; it's not good for you."
Research shows that for some families, restricting access to certain foods can actually lead to greater problems with weight. Some researchers found that when parents restrict access to certain foods or try to control the amount of food that the child eats, the child may actually eat more of that food when it is made available (Rhee, 2008; Savage, et al., 2007). This is particularly true for children who are already at risk for becoming overweight. Although it is common for parents to restrict food or control food portions as a way to encourage health among their children, it can result in unhealthy food habits.
That does not mean I give my kids unlimited whatever and of course we all have to restrict some things but I think giving them more choice would be better and accepting your dislike or breakfast is your issue and as an adult in almost any job you would probably have more access to food later in the day where as children at school (if yours are) will not. By that I mean many of us wil have a chance to eat carbs or protein at break time later in the morning but for some kids at school they will only be offered fruit or veg at break time.
Anyway, just my views.