From where you are, you can also easily get to the Arboretum to ride, but sometimes that's crowded. There's also the road that runs along the lake (oh, someone help me, I've drawn a blank!) which is a major bike route and is sometimes closed to car traffic for races. It's nice and flat and cars know there are a ton of bikes on it.
Lake Washington Boulevard! Yeah, that's it! (I had to go get my bike route map, because I couldn't remember!)
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson