We were exactly the same as you with our DD - our take on it was basically that while ever we could still control what she was eating, we'd make sure it was healthy.
She always had home made food, water to drink, and never any junk.
As she's getting older it's getting harder - she knows now what junk food is and although she still loves her fruits and veges she also likes other foods that we'd rather she didn't even know about LOL.
We're having problems with daycare as well - she goes to MIL's family daycare and apparently all the other kids have white bread sandwhiches for lunch. Emily usually takes leftovers of whatever we had for dinner the night before (ie. usually meat with rice or pasta and veges). According to MIL she is now throwing tantrums and refusing to eat it because she wants what all the other kids are having
I don't want to give into it either so I'm not sure what to do. Just wanted to say no you're not alone