Picking on the guitar

The finger tips on my left hand are all tingly and a little bit sore.

Usually this is a sign of romance, but this time it's because I have once again gotten the urge to learn how to play a guitar.

As of this writing, I have practiced three days in a row, for a time period of about 40 minutes or so. I run through a fingering exercise that was taught to me by JG Lightborne, a local performer. I strum through some chords, E, A and D, think, but God knows what they really are.

The trouble I am having is that my fingers, although not particularly fat, seem moosh onto more than one string at a time. This gives most chords a rather dull sound.

Now, I am in "working" phase of the 5 stages of mediocrity. And my question is this: Will more practice help ease this finger issue? Or do I suffer a guitar disability that cannot improve no matter what? Will a new guitar help?

Maybe I'll just try the harmonica.