Are you a
DVC member? Do you still stay on property at Disney?
We are not DVC members; but we have always stayed on property.
When the kiddos were littler, and our budget was tight, we did all of the All Stars. We like Movies the best; the theming was super fun for the kids!
We then moved into our phase of trying whatever resort we hadn't tried, and where we could get a good deal. The kids' favorite of all of them is still Pop Century - we love the Skyliner and the very Disney theming - even at our ages

. We can enjoy the theming and Food Court at Art of Animation; and often eat at the Quick Service at Riviera or at the restaurants at Caribbean Beach, Boardwalk, or Yacht/Beach. For little kids, Pop's pool area is fun too, and a Preferred Room makes everything very walkable and convenient.
Other Resorts thoughts - Moderates- Caribbean Beach is lovely but very spread out; you do get the Skyliner and access to the resorts on that loop. The pool area is also fun for the kiddos.
Port Orleans - both resorts are lovely and have fun boat transportation to Disney Springs and cute pool areas (Riverside's pool is awesome). French Quarter is more compact with easier buses, IMO. The theming isn't as fun/Disney though for little ones.
Coronado is lovely and newer, but didn't feel Disney, and the buses were awful when we were there. The pool area is also beautiful, but not as fun for littles, IMO.
Deluxe - we've stayed at Contemporary - which I loved simply for the proximity to Magic Kingdom and the monorail. We loved our time there.
Animal Kingdom - loved the theming, the animals, the pool areas, and the dining; but it was SO FAR from the parks.
Yacht Club/Beach Club - Yacht was our favorite, both are awesome due to the convenience to the parks and the pool area - but for littles, they don't scream "Disney" if that's what your kids love.
In short - it really depends on your wants/needs. When my kids were super young, close/convenient to parks was my priority, along with budget. I/They also wanted the Disney vibe to be very strong, so that made our decision easy. This last couple of years, we pretty much split stay with Pop Century (they insist we stay there every time

) and then a new resort. Have fun planning!