So first - some background.... Sandy and I go to Fulton's EVERY TRIP, two trips a year, 12 years running. Just our personal opinion, others may disagree...
This is probably the best place at WDW for SHELLFISH. But I have to suggest something that isn't Fulton's specific

. Shellfish has gotten REALLY expensive. You see, in essence, it's wild game (for the most part). Shellfish restaurants (not just Fulton's) TRY to mitigate this as best they can - the portions tend to go down in size. This would not impact your children - but the adults MIGHT want to up portion sizes a bit.
Now, Fulton's is better than most - they WILL allow you to get anything you like, through menu and off menu combinations. But I must warn - a very serious shellfish dinner at Fulton's COULD run a good $100 a head for a full grown adult. They are not greedy - it's just that shellfish has really gone up, over the years.
So - question 1? Just us, but we LOVE Fulton's.
Question 2 - bit of a walk if coming in at the Market Place. But it's not a killer

. Give yourself 15 minutes, you'll be golden.
Oh - specific to you: Fulton's is a GREAT place for children 6 & 9. Like every Disney Area Restaurant, they GET that not everyone is 30+

. I think you'll have a wonderful time there

.