Hi S.
I have traveled with my son since he was 3 months old, and most of my trips have been without my husband. Let me say that the number one thing you can do to make it a pleasant experience for your baby is to relax and enjoy the trip yourself. Your child will pick up on your tension level and will match it. If you are relaxed and happy, your baby will be too.
On takeoff and landing, I always gave my baby something to drink (discreetly nurse or give a bottle). The pacifier was an ok substitute if he was not hungry. If you use bottles, have at least 2 ready to go before you get on the plane.
I also used a baby bjorn carrier which allowed me to have both hands free. I used his stroller to hold my carry-on luggage, and always gate-checked it. Southwest no longer allows you to preboard with children, so keep that in mind. Hopefully your airline will allow you to preboard - this takes the stress out of getting yourself situated. Keep in mind that you will have to undo the carrier during flight - as they are not FAA approved. I would leave it on me, but undid the clips that held in my son.
The baby bjorn carrier will most likely need to be sent through the scanner at security. So make sure you get everything on the belt first, then hold your baby while you take off the baby bjorn (or sling). You walk through security while holding your baby - and he can't be wearing shoes, either. Then put your carrier back on, put the baby in, and get the rest of your stuff loaded back on your stroller. This is the fastest way through security - and it's still a little slow, but hopefully you won't have people trying to shove their way around you.
Bring plenty of diapers, two changes of clothes for the baby and one full change of clothes for yourself, right down to the panties, in your carry-on. Dress the baby in a couple of light layers. Sometimes the plane can be too warm, so this makes it easy to get her a little cooler.
Bring 5 or 6 familiar and fun, relatively quiet, little toys to play with on the plane or in the terminal. Make sure to bring a blanket to cover up with for nursing and to snuggle with on the plane, as they can get chilly. Bring plenty of snacks for yourself. If you are formula feeding, get those single-serving cans of premixed formala to bring along - the airport security will not hassle you about that.
See if your hotel will put a crib or pack-n-play in your room, so that you don't have to bring one along. You will need to check it and they often get damaged. Bring your own sheets, in case your daughter's skin is sensitive to laundry detergents. If you plan to bring your own, I recommend the T2 Travel Cot by Phil&Ted. I love it - it's easy to set up, it's super light, and it packs right in my suitcase.
If you will doing any travel by car, you will also need to bring your carseat. I'm assuming that your daughter is still in the baby-bucket as part of the travel system. I recommend gate-checking the stroller, baby bucket and carseat base. I also recommend getting a JJ Cole 'Bundle Me'. This way, if your baby bucket gets rained on or a little dirty during handling, it won't matter in the least. You just pack the Bundle Me it in your carry-on until you arrive at your destination. This way it stays clean and dry and your baby will have all the warmth she will need for heading north this time of year.
Enjoy the experience of traveling with your daughter. We love it and have even flown to England with our son. Because he has been flying so long, he is totally used to all the sights and sounds and often asks when he gets to go on the airplane next! If you make a point to keep a smile on your face, it will come out in everything you do while traveling and everyone will enjoy the experience.
M.