Is there a safe route to get from Shedd Aqaurium to The Navy Pier by bike with children?

You can get directly there by following the Lakefront bike path. It is safe, but with small children I would be extra cautious. The path can get very busy with joggers and rollerbladers in addition to people with different levels of biking experience. There also is a water taxi where I think you can bring your bikes that travels across the Lake from right outside of the Shedd.