Best advice: get there early! I mean be there in line before the parks open and have a good FP strategy. It looks like Space Mountain, It's a Small World, and Pirates will all be down that day.

Space is taking down its overlay, Small World is putting up its overlay and Pirates is on extended refurb.
With little ones, I am guessing Fantasyland is a priority. Unfortunately, that day is a Magic Morning day where guests of the hotels and those with multi-day PHs get to visit an hour earlier than you. This may make Fantasyland a little crowded, but your best bet is to make a beeline for Peter Pan, then Dumbo, and then Alice. Then work your way through the other Fantasyland rides. It would be great if while most of your party went to Fantasyland, one person took all the tickets and got FPs from Star Tours and met you back in Fantasyland.
On the bottom of the FP ticket, notice when it says you can get another FP. As soon as you can, grab another FP. I would recommend Haunted Mansion Holiday since Space is down. After you have completed Fantasyland (including the Matterhorn) and grabbed two FPs, perhaps take the kids to Toon Town to meet Mickey, etc. Grab a Roger Rabbit FP (or ride if a short wait). The Roger Rabbit FP is disconnected from the others, so you can grab one now.
Continue to collect FPs as soon as you are able, like Indiana, Splash (if desired), Big Thunder (also disconnected).
I am guessing that the kids will not all be able to ride the bigger rides, so baby swap as needed. When some of the adults are riding ST with their FP, the others can take the kids to Buzz and/or Autopia. Then the adults can switch out. Indiana Jones has the Jungle Cruise next door that works for switching, I've also posed with pictures with Aladdin which is close by.
I would definitely make sure you hit the Fantasyland rides, Matterhorn, Indiana Jones, Haunted Mansion Holiday, and Star Tours (if have not done at WDW). It is too bad about Space and Pirates. But you will have a blast anyway!
