I love, love, love the GCH!! BUT... in your case, I would say do DLH concierge! You have 2 kids and I think the DLH is more "magical!" Here is what I wrote in another thread:
There is something about pulling up to the hotel with the topiary Mickey greeting you, Disney music playing in the check in lobby, the Neverland themed pool with a projection of Tink at night, the disney decor in the room, Tinkerbell dust on the wallpaper border that glows at night (leave curtains open during day and lights on for all while to charge the dust -these are the old rooms) the new rooms have an awesome LED fireworks display in the headboard!, Mickey wake up calls - make sure the kids answer, sometimes Characters in the lobby, walking through DTD on the way to the park or taking the monorail. It always makes me feel like I never leave the park. You can call ahead of time and ask for autograph photos of the kids's favorite character to be ready for them when you check in. On the pool issue, just be aware that if they are not strong swimmers, they will not be able to go down the big slide - they can not wear life vests on that slide and you can not wait for them at the bottom. But if they are not big slide users, it should not affect you. You will need to get to the pool area early afternoon to find some chairs - the DLH pool area fills up fast. And
Crocs Bits 'N Bites is a great snack/lunch area by the pool - the nachos are big enough for a family to share. They also have a little snack shop that sells sandwiches, etc. and the coffee shop is good for a quick snack.
If you stay concierge at DLH, it does increase the likelihood of you getting one of the new renovated rooms - the started on the Dreams Tower first which is the Concierge tower. You can have a nice drink and appetizers in the concierge lounge and watch the fireworks from the floor to ceiling window (lounge in on the top floor).
And request a 2Queen/day bed room at the DLH - they are 50 sq ft larger than the other rooms.
Others have answered your other question but just to confirm, they do not allow pool hoping unless your pool is "down". The DLH pool is awesome!
Have fun!