Not necessarily restaurant recommendations just some food for thought (see what I did there?):
1: At 10 and 8 years old, your kids might not have an overwhelming desire to meet the characters, but it might be good to consider a few character meals anyway. A good way to "scratch that itch" without waiting on line in the parks.
2: Consider the buffet meals. Not that I want you to be a glutton, but the nice thing about the buffet meals, even at their price point, is that there is bound to be something for everyone. You wrote that your kids aren't picky, which is great, and even if they wind up not liking a meal they ordered, history seems to dictate that any sit down restaurant will allow them to order something else...but you'd have to wait. The buffets afford them instant access to a do-over, get more of things they'd like, and little desserts so you can sample a few different things. It also gives them opportunities to deliberately try new foods
3: Another reason for the buffets - you wrote you'll be on the dining plan, as well as that your kids aren't picky. I'm pretty sure your 8 year old will be limited exclusively to kids' menus in the restaurants that have specific kids' menus. Some restaurants might look the other way or offer a kids-sized version of adult dishes if you ask, but otherwise your youngest might have to consume a lot of chicken fingers and cardboard pizza. Buffets eliminate that problem. BTW, my wife hates buffet meals everywhere else in the world, but loves them at WDW. They tend to keep the offerings fresh and frequent.
4: When it comes to your snack options, some of the snacks are, quite frankly, ginormous. For example, when we stayed at Bay Lake Tower and would get a quick lunch at the Contmporary, the cupcakes seemed routinely to be the size of our then-three-year-old's head. You could easily split a freshly-made or freshly baked snack between two people, and then have an extra snack to share later in the day, or take your unused snack options and buy pre-packaged snacks like small boxes of cookies or bags of pretzels to bring home, either as little gifts to family who didn't take the trip with you, or for you when you're feeling a little nostalgic.
5: If you get the Deluxe Dining Plan, it's a lot of food, but one thing you could conceivably do is use it as a way to visit more Signature restaurants. Use your two snacks for a light breakfast (a bagel and juice for example), use one meal credit for a late breakfast/brunch or early lunch, then use 2 credits for a really nice restaurant like Artist Point or Contemporary Grill (2 of our faves), or the Hoop De Doo Revue at Fort Wilderness
Having written all that, some of our favorite restaurants include: the aforementioned Artist Point at Wilderness Lodge
the aforementioned California Grill at Contemporary
Boma at AKL,
Chef Mickey's at Contemporary
Akershus for breakfast at Norway in Epcot's World Showcase
Crystal Palace in MK
Rose and Crown at England in Epcot's World Showcase (especially if you book a late dinner and can score an outdoor table, for Illuminations)
Wolfgang Puck Express is a great table service option, especially because, while you wait on line to order, they have cast members bring food to your table and check on you, refill drinks, etc. It's like almost a table service meal for the "price" of a counter service. Stick it to the Mouse!
'Ohanas in Poly
50s Primetime or Sci-Fi Dine In at Hollywood Studios. Not the greatest food, but still quite tasty and fun locales.
Whispering Canyon Cafe at Wilderness Lodge.
Hollywood Brown Derby at Hollywood Studios (another Signature)