1) Being careful is the most important, keep the hole in the container as small as you can and still get the ca to flow. Keep your fingers out of the path of the ca as much as possible, that is difficult sometimes just be mindful of it.
2) Either acetone or sandpaper to remove it from your fingers. Sometimes i bite it off but annoys the wife.
3) I keep a small sealed container in the workshop partically filled with acetone and soak the glue tips to remove leftover ca or clogged tips. I have enough tips that i can rotate them, leaving one on the bottle and one in the acetone.
4) You can buy the small applicators or extra tips at most hobby stores.
Side notes:
I try to avoid using ca as much as possible. I prefer Titebond II for most building. CA certainly has its place.
I am sure some of the other guys will chime in with additional information.