Set the release tension on the pedals to the minimum setting to start, this will make it easier to get in and out, which will be come second nature in no time. If you think the pedals are releasing when they shouldn't increase the tension.
Pratice unclipping both feet at the same time, that way if you lean the wrong way, you wont panic and not be able to unclip.
Remember that unlike toe clips, to release from the pedals you have to twist your foot, then you can move it out to the side, in the direction it is already moving.
I fell once because I couldn't unclip fast enough, luckly no one was watching. I fell a bunch of times with my toe clips and straps, go figure.

For a computer, look at the Cateye Micro Wireless, easy to instal, set up and use, and mostly bombproof.