Bullhorns are pretty similar to flats, plus an extra hand position and minus barspinzz. Another advantage of bullhorns is the ability to shift a lot more of your weight onto the front wheel for skidzz. One of the major things you'll have to consider is whether you'll want flat bullhorns or bullhorns with some sort of drop...I had been riding flat horns for a while and considered switching to drop horns because I wanted to be lower, but opted for track drops in the end.
One thing to watch out for is that some horns are pretty long in the front, like the Soma El Toro ones, but that really isn't that big of an issue. And they're always easily modifiable.
Also don't worry about mounting the brake lever, you can pretty easily mount it across the flat part of the horns.