This will not provide any info on the subject, so skip to the next post if you don't want to hear a story...
About 8 years ago I was on a trip to FLL, and in the course of the trip kids and spouse talked me into buying a parrot, since there were so many birdshops in the area and they'd been lobbying for one for a long time.
We had flown down on Southwest, I called them requesting accomodation for our new guy. At that time they had a strict no-pet policy. Called every other airline operating out of FLL or MIA back to our home base, fully willing to buy another ticket for one of us and pay the pet fee, NONE of them had any pet space available. I tried finding a pet shipping service but was put off by the combination of expense and cluelessness as to how to care for birds.
I went to Target and bought a medium size purse and a medium tupperware type container. Lined the container with paper towels, tucked in the baby bird, put the container in my purse (without lid). The little guy went through the security scanner and slept all the way home. I told the kids we were having him shipped home through the pet shipping service so they wouldn't act weird and get us busted at security, they were sitting with me and had no idea I was carrying him until we got home.
I would have preferred to transport Moose (as we named him) legitimately, but they just made it too difficult. Short of renting a car and driving him FLL-MHT, I had no choice but to implement operation Moose Smuggle.