There are some good restaurants in Vero. When you get to VB they will have a book of restaurants and menus for viewing. I believe they have a Pizza Hut, Perkins and maybe an IHOP. However, we have never eaten at those places.
Here is a few numbers I have from previous trips. Monte's in a specialty Italian place. Moderate in price, no kids menu but very professional and will cater to child or specific needs.
I also included DVB phone number in case you have any questions for them. Don't forget, VB has a great restaurant there (not the fancy one). Can't remember the name, but it is very good, kid friendly, and have great fish and steaks.
Good luck.
Outback Steak House
Work: (561) 567-5222
1475 US Highway 1
Vero Beach, FL 32960
Monte's Italian Restaurant
Work: (561) 231-6612
1517 Ocean Drive
Vero Beach, FL 32963
Disney's Vero Beach Resort
Work: (561) 234-2000
9250 Island Grove Terrace
Vero Beach, FL 32963