Google maps does have bike routes but you have to do a little extra clicking to see them. On the google maps page click "get directions" at the top left, then click the bike icon in the list of 4 icons, then enter some local addresses in the boxes that appear. You will see a map with a suggested route and all the bike lanes, paths, and routes marked. The suggested route isn't likely to be the very best route for you, but with the map you can work out what you want to try. It's a nice tool.