Perhaps try focusing more on adding rather than taking away? Add new yummy foods to your family's palate first, then slowly remove the bad stuff.
The kids really don't have any say in the matter. You're the parent. If certain foods aren't allowed in the house that's the rule. Maybe you could have an age-appropriate conversation with them about foods, and explain to them what you're learning and why it's important. Make it an experiment or an adventure so they're learning and having fun, all while you get your way.
With hubs, it's probably more of a heart-to-heart conversation... "This is important to me and I would like you to support me" sort of conversation. Again, add before you take away so he's not feeling punished or forced.
Just a few thoughts.