We made this walk a few weeks ago. We left our room an hour before our reservation and got there about 15 minutes early. We had a sit and stand stroller for our 8 and 5 year olds so we weren't moving all that fast.
I probably won't make that walk again. What I would do is see if you could take a taxi to DLH and then walk to the parks. It was longer than I thought. Not terrible, but a lot of effort for dinner! KWIM?
We had a car and should have used it! I thought that walking would be easier. HA!
Also, there are no restrooms in Goofy's Kitchen. You might want to take everyone inside the DLH before sitting down. We had to get up, go outside, up the escalator and to the restroom with both kids during dinner. I hope that is just because of the remodel. Maybe they will have restrooms on the same floor after it is finished. It would certainly make sense in a place designed for families!