Fun things to do with a toddler in Seattle?

We're going to Seattle the last week in March for about a week. We're staying pretty much downtown, by the paramount, and are planning on doing the zoo, aquarium, emp, sam...I'm just looking for more ideas along the lines of places to eat, beaches that are close to town, shopping...any ideas from locals with toddlers. We're just coming from Spokane, so we sort of know the area and will have a car. Thanks.