Another trick to falling more safely/ comfortably is to have good clear communication. It starts way before you even get on the route. Make 100% sure you and your belayer(s) all use/ know the same climb signals. I've seen some nasty accidents occur when confusion reigned over what someone "said". Check out Craigs list on climbing calls in another thread here, and practice them.
When you get to a section that looks/ feels/ is tough, tell your belayer "watch me!"...and should you have the luxury of choosing the milli-second of popping off, yell out "falling!". The earlier your belay knows about the fall (or likelihood thereof, the better prepared he/she can be to ease your descent).
Totally be aware of the routes objective dangers from a falling point of view, that horn you cranked on to get up might just kebab you on the way down, and think of where you might swing should you pop. OFTEN it isn't straight down, but in an arc. Helmets are great for those moments when you pendulum into a wall on a totally solid, rock-never-falls, no need for helmet type routes
If you are ice climbing, and fall, it's usually messy. Blood and gore. Sharp steel and soft flesh make uneasy bedfellows. So never, NEVER NEVER climb with your face directly behind an axe. It's called the lobotomy move for a reason. Keep the rope and pro slightly off to one side of your climbing route if possible to avoid your crampons slicing the rope should you slip. And bury your face in your chest, and extend your axe wielding arms away from you as best you can. You might also think about using a full-body harness or chest harness add-on if you are carrying a heavy load...this can prevent the diaster of flipping upside down...but has been reported to tweak backs (rarely).
If you are falling on a snow slope, there are 4 main scenarios to consider, and you should practice the emergency moves for each one before going into such terrain. 1Chest down, feet first. 2Chest up feet first. Chest down head first. 4. Chest up head first (the worst scenario!).
Each one needs a different series of QUICK moves to arrest a fall. Look them up in Mountaineering Freedom of the Hills, or any of a number of other good texts on mountaineering...maybe someone can scan/link/post the pics here???