Babies at this age require more movement and entertainment, so traveling isn't the breeze it was before, but, barring any ear trouble, it's still pretty simple. Your little one won't sleep the whole time, so come prepared with books and toys and expect to take a few trips down the aisle so your baby can move around.
During the period of time when my son was around 7 to 12 months, we would suck up the expense on long flights and buy him his own seat. That way, we could bring his car seat on board and strap him in. And there's something about being strapped into a car seat that just seems to make babies more content to sit still, as opposed to plopping them on an empty seat, which welcomes the wiggles.
Pro Tip: If you have a good sleeper, travel when your baby normally sleeps. Since our son was a solid-12-hour-a-night sleeper, we flew a lot of red eyes during this time. He would be slightly annoyed at being woken up for security, but once we got on the flight, he would pass out until landing. We were a little bleary-eyed the next day, but it was cheaper than a daytime flight and easier.