A really nice, commercial RV park, in a really nice neighborhood, but close to restaurants, stores, etc., is Pensacola RV park:
Pensacola RV Park
It's about 25 minutes from the Navy Aviation Museum. A very easy drive, however.
Big Lagoon State Park is even closer to the museum and beaches. It's quite nice, but doesn't have sewer hook-ups at the sites.
If you're active or retired military or Department of Defense civilian, Blue Angel Navy Recreation Park is hard to beat. Sites available with full hook-ups, right on the water of perdido bay, and very low price:
Blue Angel Park - Perdido Bay, Florida - Fiberglass RV