Traveling with a toddler like me can be a challenge. So here are some tips if you plan on doing that.
Allow for plenty of time for everything. Rushing a toddler is never a good idea. Nope. 
Bring some entertainment like movies and small toys. Bring a small DVD player or better yet, cram as many movies you can on an iTouch and it's really easy to take it around. Don't forget headphones. The collapsible ones are good and more compact.
For parents, you can bring a small netbook if you'd like. Really handy because WiFi is pretty much everywhere.
Bring snacks. Toddlers like to munch. Plus, if there is a delay and you're stuck nowhere close to a food place, you at least you have something to offer your kid. I'm eating Pringles here, but granola bars and dried fruit are a better alternative. You hear that, mommy? 
Make us strike a pose. We'll do it. Just ask when we're in a good mood or you'll get a kick in the groin.
Snap a pic of us no matter how it looks like because we grow up so fast.
Pack light so you can get up at a moment's notice to rush to a new gate if need be. Let us take our own luggage. Many of us like that sense of responsibility.
Let us lounge around the airport (of course without interupting or getting in the way of anyone). If we get bored, take us for a walk, take a look through other gate windows, count planes, or browse the gift shops. If you don't want to buy anything at the gift shop, make that clear to us. If not, you are in trouble.
Tell us what to expect next. Like what gate we're going, what plane we're boarding, how much longer we should wait, why there's a delay, etc. Many of us would like to know. Waiting for us is torture and not knowing why we're waiting for so long can make us cranky and will get you a meltdown.
Lastly, don't forget to enjoy your trip. The experience, mementos, and pictures of your adventure will surely stay with your kid for a lifetime.