Taverna Elena is a great place to take the family to for a relaxing meal.
The food is great and very reasonably priced. Depending upon where you are coming from, you might find it actually pretty cheap.
Fish is definitely a specialty of this taverna. Ask your waiter what he recommends. If you're not sure about the fish he describes, ask if you can see it. He'll take you over to the fish counter and point it out. The kids will probably find that interesting.
Besides fish, they have a good mix of other Greek food. Everyone in the family should be able to find something they like.
On the Water
The taverna is located right on the water. If your kids don't require constant supervision, try to get a table right along the water.
Little fish will keep swimming by the deck. Let your kids feed them with some bread from the table. Just have them throw tiny pieces into the water. Chances are good they'll start a little feeding frenzy.
Last Bit of Advice
Mosquitoes aren't that bad in the area. It would probably be a good idea to rub some lotion on before you head out to Taverna Elena, just in case.