Here is an excellent video on the correct technique for doing a self-arrest using an ice axe. Filmed at Glenmore Lodge in northern Scotland.
https://www.youtube.com/results?search_query=ice+axe+self+arrestThe instructor in the video is demonstrating the techniques taught in professional courses and SAR teams.
It might look easy, but it really isn't. This is why we keep nagging you guys about training, training, and practice, practice. Please, don't go rent an ice-axe and crampons without training in their use. It would be like buying a hand-gun and then never learning how it fire it or practice with it.
Near the end of the video you can click on other films on crampons, etc. Need I say it again? Don't think watching instructions on a video makes you competent and safe.