If you can afford it i recommend you find a teacher, I had 6 or 7 lessons when i had been playing ten years and it made me a lot better.
An easy song is A Horse With No Name [only just found out how easy it is].
This is a great page for beginners
http://www.eskimo.com/~ogre/beginner/index.html
This is from OLGA [OnLine Guitar Archive]
http://www.olga.pl/chordpro/d/John.Denver/CountryRoads.chopro
They have had hosting problems so some links will not work,but it's a very useful resource.
Good Luck.
Accuracy,you say? hmm interesting concept..