You'll be fine with the kids too. I was all worried about taking the kids on my vacation; it was fine. The flight went about as well (well, about as badly) as one might expect. Unfortunately factors that didn't help was that the TV's didn't work, it was delayed AND slow so a 6 hour flight was more like 7.5 hours .. AND they ran out of the 3 items of food they sell that my kids would actually eat. So yeah, by about 5.5 hours into the flight we were "THAT family"
and getting a lot of dirty looks but ..well, what can you do. We survived.
Turns out the TVs working wouldn't have helped much. They were working on the way back, but I guess they don't work outside of 200km offshore, only for movies, and you can only buy movies in the first 15 minutes of the flight.
But, meh. The vacation will be good no matter what happens with the flights. Your kids will have so much fun on the beach.