Maybe I'm Crazy

I've been thinking about running.  The thing is I used to run track in school (long jump, high jump, sprints & relays).  I wasn't great at it but I did okay, but most of all it was fun. 
However after the car accidents and putting on weight running was no longer fun.  My joints hurt and I have shin splints.  But running is still in my mind.
After losing the 30lbs I've found that I can run short distances.  Even something as easy as running across the yard to the barn used to leave me winded and now it's nothing.  And those little sprints have rekindled that "I love to run" feeling.
I know that to start really running again it will take time and I'm hoping that by taking it easy I won't have as much trouble with the shin splints.  I'm pretty certain that losing weight and getting in shape will help with the joint problems too.
Holy heck though, running has gotten technical!  All the discussion about stride & form, different clothing options, etc etc... kinda makes my head spin. 
My goal isn't to run a marathon or even a half, so maybe my goal isn't to be a "real runner".  I'd like to try a 5K though, and if that goes well maybe move up to a 10K.
I'm going to look at some C25K plans (Couch to 5 K) and also see if I might be able to get into a learn to run program at a local runner's store (which will really depend on if it fits my work schedule.)
I've got a treadmill plus miles of roads at home, plus beautiful trails along the river in the city if I'm brave enough to "go public".
Is there anything you used to do when you were younger/fitter that you'd like to try again?