Our Old coachman had those issues, the fix we had was interestingly simple. the dog leashes we had.... you would take the handle portion of the dog leash and place it around the handle of the recliner, wrap the leash around the chairs and clip it back to the handle... the leash was just the perfect size for the chairs that we had. Seems the Bungee cord idea would also be a great and simple solution.
99 F350 4X sc 6sp Dually, 03 Montana 3655FL/5er
http://www.wsdot.wa.gov/traffic/passes/white/ not far from home...