I have over 20+ doggie carriers --- yes, I'm obsessed with them, and I LOVE the bags by Teafco (
World Famous Pet Products by TEAFCO). I have three of their carriers: ARGO Petaboard both in style A & B
ARGO Aero-Pet Carrier (good for 2 yorkies). These bags are light and easy to carry, and they are one of the best-designed bags I've seen. They are excellent for travel, and I feel that my Yorkies (I travel with two) are very safe in them.
Even though your baby might be calm, it can be helpful to bring some natural calming aids (such as Bachs, or calming pet treats) I like Pet Calm from Pet Naturals of Vermont.
Calming For Small Dogs - Softchews, Supports Stress Reduction
Before the trip, help your baby become accustomed to her carrier by putting her in it daily, and carry her around the house or on short errands. Make every experience in the carrier fun and pleasant.
Good luck and keep us posted on your trip! :-)