I have a few tips having disneymooned myself...
First off, do you have MYW tickets or AP tickets? If even one of you has an AP ticket you can pay $50 to get a DDE card and use that to get 20% of your sit-down meals. That alone could mean huge savings for a 2-week trip.
Also, I'd plan to use Pop's food court or bring some food from home for breakfast. Seemed to work very well for us, although we're not big breakfast eaters anyway.
I'd plan to have sit-down meals at lunchtime rather than dinnertime since the prices are lower. Besides, it will get you out of the hot afternoon sun too. Then just munch at different counter service locations for dinner.
And like a previous poster said, wear the bride and groom ears. You're not assured of any freebies, but you might be pleasantly surprised with some of the magic. Just don't go in expecting anything, that way you won't be disappointed.
Have fun!!