Pretty much all of the above. I got quite paranoid about this a few years back when there was a security scare at Heathrow and we had to put EVERYTHING into checked baggage. A number of rolls of exposed Delta 400 were ruined by the stronger x-rays used there.
For a while after that I put all my film in clear plastic bags and deliberately carried some Delta 3200 with them so as to have proof that my film was over the 800 ISO the carry on xrays are supposed to be safe at. Had a few arguments about hand inspections even so, but mostly in India.
Finally got a ruling from the Australian Government that under the regulations, security staff at Australian airports were OBLIGED to carry out hand inspections if requested. Some didn't know so I took to carrying a copy of the regulations and routinely asked immediately for a supervisor. Often the supervisor didn't know either! Once asked to see the airport security manager when faced with total obstinacy. That worked!
Today I'm much more relaxed about it. Two plastic bags, one for unexposed film and one for exposed film. Removed from cartons. Only carry 100 and 400 ISO film. Show the bag. Even when it has to go through multiple carry-on check xrays I've had no problems.
I wouldn't recommend putting film in your pocket. You can get away with this with 120 film with plastic spools and the foil removed, but why bother? 35mm film in metal containers will get picked up by the detectors and you'll have to go back, empty your pockets and put the film through xray anyway. Again, why bother? Just show the bags, ask for a hand inspection. If it's refused you can still put the bag through the xray without worry.
But take the film bags out of your luggage. You will probably have noticed that if the operator is uncertain about anything on the screen they reverse the conveyor and rescan, maybe three or four times and may still ask you to open your bag at the end of it all! Since most operators don't know what a film camera looks like on their screen, and especially a vintage Leica or FSU clone they regard what they see with deep suspicion!