The Naval Base tour itself is a 45 min bus ride around the base.
You can see the ships at dock from a distance but you don't actually get anywhere near them.
Nauticus & the Battleship Wisconsin is a museum that's off base in downtown Norfolk and you get to walk all over the ship.
And finally, there's a 2 hr cruise (departs from near Nauticus) that gives a harbor tour and is a better way to view the ships at dock at the base than the bus tour on the base and it's very comfortable.
The kids might really enjoy the whole thing.
It's great seeing things with Dad that he's enthusiastic about.
And on the bus tour, you have a shot at seeing a lot of nice young men in uniform or jogging on base so there's scenery for you to take in even if you are not interested in ships yourself.
There's also the zoo, which is a good way to spend a few hours.
The Botanical Gardens are nice, (Butterfly exhibit and children s area) but some kids do get bored with it.
These are the things to do that are grouped in Norfolk.
If you want to get into Virginia Beach, there is the beach itself
and the Aquarium.