When my kids were younger (4 or less), we insisted on a naptime in the afternoon. However, we didn't always do that back at the hotel. I used to take my kids into the air-conditioned areas in the parks (e.g., the circus tent in MK, the baby centers, the innoventions buildings, pizzafari, etc.) and I would either let them sleep in their stroller or hold them. The older they got, that became unrealistic because they were never going to fall asleep in public. So, then we did have to takr them back to the hotel. They always wanted to swim, but since we were using this for rest, I insisted we go to the room, close the curtains, and I actually turned on spa music on pandora.
They rested fine, but the travel did take a big chunk out of our day. At age 7, I stopped pushing the nap/rest time, and now I just observe them to see if they need a break on certain days or not. Some days we're out from 8am-10pm with no problems.
My number one rule in WDW is to take it easy. Whatever you do, don't push it. WDW is meant to be fun, and pushing to exhaustion at any age is not fun. If you have to go back to the room, it may seem like a lot of time is lost. But, remember that the time you do have in the parks will be enjoyable because people will be rested. A lot of time spent with crabby people is not fun.
I think the biggest issue you'll have is what to do with the variety of ages on your trip. A 1 year old cannot make it all day. But, a 10 year old probably can and will be annoyed if (s)he has to go back and wait around for the 1 year old to nap for 2 hours. Luckily, when we had one young and one who was 10, my parents were with us, so they kept the 10 yo at the park, while we took my son back to nap. You may want to consider splitting up?