A New Pursuit: Solving Rubik’s Cube

It seems to be one of those mysteries of life, that most kids since the dawn of the Cube try for a while and then give up on. As you might expect, though, there are solutions, involving algorithms, that can be used to reliably solve the Cube. I got a Cube for my B-Day (thanks @ShayWade!) and am following the instructions in the below video to start out on this quest.
It feels good to try something new. Wish me luck!
Update (Monday 3/30): @tdterry suggests an easier to memorize approach here.