I don’t think it’s a good idea. We have tried very hard to not have our children eat in front of the tv. It’s just too easy to do mindless eating of bad things.
The only television our kids watch is after dinner - when we will watch a movie from the library. Our rule is that they must have eaten a good dinner - no snacks for at least an hour. Then, if there is a snack, we turn off the tv - go up and have a snack - and they can watch a bit more of the movie after they brush their teeth and use the rest room.
On rare occasions, we have had popcorn while watching, but that is unusual.
My wife and i have had lifelong struggles with our weight. That is one thing we do not want our children to inherit. So we have done a lot to encourage good eating habits. So far, it has been one struggle where we have seemed to have done a good job.
But I think that you have to start early. I would talk to your husband privately about your concerns. In our family, if a child did not eat his/her dinner, then his/her left over dinner would be the snack for that child. We have made a game out of eating good things - and we don’t usually push it. With our kids now, we’ve made a connection between eating their vegetables and fruits and how fast, strong, smart or cute they are. All i have to say is something like. "That’s okay, Daddy needs to be faster than you anyway, so i can catch you. Don’t eat that broccoli, I don’t want you to be that fast. Mommy, you watch her while i get a glass of milk, don’t let her sneak a piece of broccoli. Every one of my kids would sneak the carrot/broccoli/brussel sprouts. Even though my older kids now realize it is a game, they still like to do it. And there are other games we play along that line. And then i follow up the next day with questions. “Where did they put that school of yours?” My 3 year old can tell me when we are five blocks away that she can see the school. So I will ask her “Did you sneak extra carrots last night that your eyes are so good?”.
And I think a family dinner without outside interruptions is worth it. We don’t answer the phone during dinner.
Good luck. It’s a lifelong struggle to get it right.