Good news - this is by far the easiest time to travel with a child! I traveled with both of my daughters when each was 2.5 months old, and with my youngest daughter when she was about 4 months old. Honestly, it's pretty easy. Be sure your diaper bag is stocked with diapers (I would bring 8-10. You shouldn't need them, but just in case!) and wipes. Bring an extra outfit for your baby, and an extra shirt for you. Bring a few extra burp cloths. And, bring a magazine, because you'll probably get to read it while your baby sleeps.
Neither of my girls has ever been bothered by takeoff or landing. I nurse them if possible (sometimes, they're asleep and don't need to!), but they've been quite content. My oldest daughter is now 3.5, and she's a great traveler, because she's used to it. And, her ears have never bothered her, even if she had a cold!
I'd bring a sling and/or Bjorn. I personally like the sling, so that she could nap in it during the plane ride (and truly, my youngest daughter pretty much slept the entire way to and from Seattle - a 4 hour flight - and the entire way back from CA, a 3 hour flight). But, the Bjorn is easy to use while at the airport. I gate checked the carseat and stroller.
Good luck, but don't worry!