With the surge of the Snowflakes generation, I would be very careful about posting videos/photos online. They are always some butthurts or annoying people who will criticize and claim how unprofessional you are. The company I work for has no written restrictions. I sometimes make videos/photos when flying with friends but I will think twice before considering posting them online as it can always be against you nowadays.
As mentionned above, be careful about loose items in the cockpit.
if you have a look at Airbus Safety First magazine #19, there was a case that the captain left his camera in between the armrest and the sidestick during flight and when he moved his seat forward, it pushed the camera forward and then the sidestick. The aircraft abruptly pitch down for roughly 20 seconds and reached 15 000 feet/min descent rate...