How old are the kids? If you can swing it, bring a stroller. My oldest was 5, and we still put him in one (and the 3.5 yr old twins in a double stroller). You can load up a soft side cooler, stash it under the stroller, then eat your own food anywhere in the park (this was true at sea world too, contrary to what their website said). Plus once the kids get tired, just plop them in the stroller and push on. There is stroller parking everywhere.
We went in late January, stayed off campus at a golf resort townhouse. Being offseason, it was very empty, really close to the Hollywood Disney, and extremely affordable, I'm thinking like $100/night.
We did 2 days at sea world, 2 Hollywood, one magic kingdom, and one animal kingdom, not in that order. We did a little research online, then just ended up buying our tix at the townhouse, prices seemed comprable to what we had found online.
We're going next jan/February, kids will be 10 & 8.5, gonna have to do without the strollers. Staying with sister inlaw at her timeshare. We'll have to hit Epcot this time; we were told 5yrs old might be too young.