Tide Me Over has typical food court food. Hamburgers, hot dogs, turkey wraps, chicken fingers and salads. Typical kids' meals as well. Even have breakfast sandwiches. They do have refillable mugs. You can refill there and at Signals at the Beach House or at the poolside bar at the Beach House. Best to refill at the bar instead of at Signals. Did not eat at Tide Me Over, but did eat at Signals and service is very slow. As far as the grills, I did see numerous throughout, but we did not use them. One of the very best things about HH is all the fabulous restaurants on the island so we always eat dinner out. Even if there is a long wait (you can make reservations at some), many have live entertainment to enjoy. You will love the resort. Many activities to do. Lots for the kids if any are coming. Shark fishing was a blast and the dolphins came right up beside the boat and "played" for about 15 minutes.
Enjoy your stay. We rented for this stay and my husband said it's time to look for a resale. Yaaaay!!