There is absolutely no reason why anyone, especially an absolute beginner, should need a different computer to learn how to edit.
To the OP, I would recommend playing with a simple program like Movie Maker with some of your first shots as you search around for a program that suits your needs. Something like Adobe Premier or Vegas will be overwhelming if you've never made a movie before, so it's good to play around first.
"For me, my family, my friends and skiing, that is for me. That's my life. The joy I get from skiing... that's worth dying for." - CR Johnson