Hi S.,
I have a 3 1/2 year old Daughter and we have been going to Red Robin for a couple years now. They have a kids menu, on the back of a coloring page and provide crayons, for your older one there are a couple video games nothing to fancy though. The food is good, it is a family atmosphere, never quiet. They have a Kids night I think it is Monday, but it might vary by location they generally have a magician in those nights. I know there are locations in Independence, Overland Park, and Olathe. Now that it is getting to be summer water parks are something to consider, not sure where you live exactly but even the local pools have summer family passes and are fun for the whole family. Chlorine not the best thing for the eczema, but if you keep the skin moisturized before and after should be ok a couple times a week, my Daughter has had eczema since she was 1, and we swim all the time in the summer and she swims once a week at pre-school. Good luck, hope this helps!
M.