Children are allowed anywhere however the gulf can get rough. Many locals bring their kids to:
Baby Beach- Take a left at 920 Panferio Dr. You will see the beach right past the church.
1334 Ft Pickens Rd- there is a playground also. There are restrooms across the street on the gulf side
Quietwater Beach 253 Pensacola Beach Blvd. As you come over the bridge, it is on the left. Parking can get difficult here in peak season. There are restrooms on the boardwalk and plenty of food choices on the boardwalk.