Well I don't have children, but being an overweight child, I can certainly say what did and didn't work for me.
Calling me names. Yes my family made fun of me and it wasn't bad enough that I had to go to school and endure that, I had to hear it from my own family. Remember that old saying, "If you can't say something nice, don't say nothing at all?" Very very true!
Your STILL hungry? This just made me feel like a pig. Instead maybe suggest eating some fruit or veggies or drinking some water to fill them up.
Keeping junk foods around and easily accessable. Keep healthy foods easily accessable instead and that means yup you eating healthy foods too.
Give things for your kids to do when your not around. If you are a single parent or you and your spouse both work and if your kid (s) are old enough to now stay home alone, give them chores to do, keep a list of activities they can do (that you approve of), have a relative, friend, or neighbor come over and do activities with them. My mom was a single mom and I know all about this. Sometimes kids can't think of things to do when they are alone. Also of course keep a list of #'s where they can get a hold of you and relatives, friends, neighbors if they get lonely, bored or whatever.
Limit your kids tv and computer time. We didn't have computers "back" then, but my mom would limit my tv time. Encourage physical activities.
The best thing that worked for me was my mom doing things with me, like taking walks with me, looking at food labels with me, etc. I also had a cousin that I was very close too and spent a lot of time with and we would encourage each other and take walks together, etc too.
Use other things as rewards besides food. Take them to the park for the day, ride bikes together, play a sport with them, take them and their friends skating, etc.