text: OSM can handle all of this. The entrance needs a turn restriction, to show people cannot enter. The cycle lane can be added and tagged to show the turn restriction does not apply (if I've understood that properly).
  
  The turn restriction are a little more advanced than basic mapping, but not too hard. You might like to sign up to OSM (which is free and easy) so you can then make your own edits. Why not update the map to share your local knowledge with everyone else.