You would pay $38 pp a day (adult) and $12 for kids under 10. This will get you a snack (something under $4), a counter service meal (entree, beverage, dessert) and a Table service meal (appetizer, entree, beverage, desset) a day for each person on the plan.
Now, is it worth it? Only you can make that call. You would have to sit down, with some sample menus, and figure out, day to day, what your family is likely to spend. Then, compare it to the cost of the
DDP. Don't forget that all taxes and gratuities are included in that $38 a day per person. But, you would need to book a package...from what I hear you can get a 1 day park pass and pay the room rack rate in order to get the DDP.
I have an AP so I can get the Disney Dining Experience card which allows me to take 20% off most table service meals. I have had to sit, with menus in hand, and compare my costs this way for the past several trips. Being a DVC owner, we can buy the DDP, so I have had to figure out which plan is going to work best for each trip. But a little homework pays off in the end!!
Because I routinely book one table service meal a day, and have the other meal a counter service meal, it usually pays off for us. But, keep in mind...either way, you are going to have to make ADRs if you want to eat at the table service restaurants. This is the end result of the DDP... a lot more people are sitting down and eating!!!