You will love the beaches and the area here!
It sounds like you are looking for one of the larger, full service, resorts...
Here are a few that come to mind.
Sandestin - Huge resort, many options for dining and activities onsite, including the Sandestin Hilton and the Grand Boulevard complex. During high season they should have things to offer for kids.
Silver Shells - another large resort. Close in to Destin. Large beachfront pool. I am assuming that they do offer food and drinks.
Seascape Resort Complex - Ariel Dunes - Majestic Sun
Another huge complex.
This is across the two-lane 98 hwy from the actual Gulf.
This may or not be a huge deal for you.
Across the Bridge over at Ft. Walton:
Destin West and Waterscape both have nicely landscaped pools, kiddie pools, lazy river, etc... These may be a hit with the kids.
The great Experts here may have many other great ideas!
Hope this helps!
Edited: 09 March 2012, 16:31