I unfortunately can't help you with the shipping thing....perhaps something like this?....https://www.youtube.com/watch?v=CqwVUg4aGAY
Consider yourself lucky you got parakeets though.....a friend had a scarlet macaw a long time ago and that particular bird is the reason why I will never own a bird lol. You do NOT want to be bit by a macaw. When they say they can crack Brazil nuts with their beaks....they mean it.