I am 34 weeks, and i fly out Sunday to seattle.
My midwife gave me a copy of my med chart, told me to look up hospitals so I would be fimilar with names of places to go ncase something happened. And I secduled an appt a week before so she could check my cervix. Everthing normal, and I am off!
She said I could fly upto 37-38 weeks with out worry. and airlines leave it up to you to tell them. And they have no restrinctions.
Hope you have a great time!