Sherie, You have absolutley nothing to worry about.
I flew from Germany to Glasgow to visit family (stopover in London) when Ben was 6 weeks old. I was so worried because although i fly alot, this was the first time with Ben. He was so good. Slept all through the flights. We brought his car seat on board, as we have a bottom part to our pram that the car seat just clips onto.. Anyway, we organized for the bottom part to be brought to us when we were leaving to plane.. That was a nightmare though. The people were so very rude and unfriendly in London. Plus, we had to go up and down so many stairs.
To avoid the pram stress, I suggest taking bubs in a carrier (eg: hugabub or baby björn), i really wish someone would have told me to do that.
One thing i would also advise is, dont fly alone with a baby. I would have been so lost if i didnt have my mum there helping me (dh had to work).

Good luck with everything. And dont worry, its really not as hard as you may think!