Having spent a year living down in Florida it was much easier to slow down and relax during the park days we had. Though we were usually up at going by MK's rope drop, we'd stroll down Main St, grab a coffee, eat breakfast and watch the first trolley show. After the parade, or around 6pm, we'd head over to the monorail resorts and grab a bite to eat and a drink and just sit and soak up the atmosphere (might be a bit harder to do with kids, but depending on ages they might dance around to the music or even play around on phones?) PP's said stopping every few hours for a snack works, which is definitely true, a snack, coffee, meal, ice cream, can all make you sit down for a while. We spend a lot of time sitting in the hub grass once the sunlight isn't too bright.
Epcot in particular is an easy park to stroll around in, have a snack or drink in each country and sit around to absorb the culture represented. Check out the movies, get a Duffy stamped in each country, spend some time chatting with cast members about where they're from/what the like about working in Disney or at home. They'll be MORE than happy to continue to chat (this works with any cm's but the ones roaming the merch shops works best). I also find DAK to be super easy to take a load off and absorb everything in because there's so much to look at and explore. Take a break while the kids (or you) dance around to the live band in Harambe, wander through all the jungle trek pathways, take the train out to planet watch and hangout with some goats for a while. It all depends on what you want to experience, while "slowing down"
I've spent previous trips starting at 6:00 am and not stopping until midnight, rides, fp, characters,
ddp meals, parades, shows, fireworks, leg cramps, exhaustion, and it's all absolutely been worth it. I've also spent entire days at a resort and it's also been worth it.