I agree with Alan Green - carry on with what you're doing, but find some easy songs to play as well. There are a few songs which can be played with only two chords - Horse With No Name, Dance The Night Away (Mavericks) and For What It's Worth (Buffalo Springfield) come to mind. There are literally hundreds, maybe even thousands, that use a I - IV - V progression (A D and E, C F and G, G C and D, D G and A, etc....) and almost as many that feature a I - VIm - IV - V progression - G, Em, C and D; C, Am, F and G.
Once you've learned the open chords you have a huge choice of songs to pick from!
Vic
"Sometimes the beauty of music can help us all find strength to deal with all the curves life can throw us." (D. Hodge.)