unfortunately there's not a whole lot around that area, there's downtown disney which is a shopping walk leading to Disneyland and California Adventure. Not incredible kid friendly, besides just walking around and seeing a lot of people, lego store, etc. there's normally a band or two playing along the way. Also the grounds of the Disneyland hotel are really beautiful, they have an arcade and mini boat racing in a pond, it's like a vending machine with a steering wheel and you control the boats. Down the road there's a new Garden Walk, but is not really a garden more of another shopping center with a lot of restaurants.
The Amtrak station is a few miles away at the Angels stadium, if you could get there. Then you have access to old town orange, and some of the beach cities.
A few miles in the opposite directions, Buena Park near Knott's berry farm, has a strip of museums. Riply's believe it or not, the wax museum, etc. I'm sure you can look it up. I haven't been to that area in years, so I can't tell you too much more.
My favorite things to do with dd are the beach, normally the more quiet ones, like Laguna, they have a playground. walking around the old town orange circle, and going to the park. Irvine regional park has a lot of rad stuff. A zoo, pony rides, a train, lots of duck ponds, and lots of different play areas. The Long Beach aquarium is pretty awesome too. Still a trek, though.