Hey Uruxboy,

I think it's a good thing that you are learning "right handed" guitar, even though you are a lefty. The fact is that both hands have a lot to learn to play the guitar, so you are getting the benefit of your left hand doing pretty well with chords.

As far as strumming vs. fingerstyle, I could point you in the direction of a couple of my tutorials that might help you figure out the best way to go. I have a beginner-level tutorial on both styles. I would suggest you try the first few lessons of each one and see which technique feels better to you. Once you decide which technique you'd like to focus on, then you can pursue all sorts of other lessons in that style.

Acoustic Fingerpicking for Beginners
http://www.guitartricks.com/tutorial.php?input=596

Acoustic Strumming 1: Getting Started
http://www.guitartricks.com/tutorial.php?input=486

Keep us posted! Best wishes - Lisa