OK, first of all, just restringing a right will not work. You need to reverse the nut and the bridge as well and that is not a beginner level job.
Secondly, I'm a lefty myself, and if you're just starting off learning, picking the hand you're going to play with is a big decision...
Advantages of playing right handed:
1. The majority of resources, books, chord diagrams, lessons, whatever - that you will find have been written from a right hander's point of view. Learning guitar will be easier if you go from the right side.
2. Your left hand is more adept and you will thus have an advantage in fretting.
3. Left handed guitars are more expensive than right handed ones
Advantages of playing left handed:
1. You get a "normal" position - giving your fingering hand the advantage
Thing you need to know is, that in guitar both hands have demanding functions and there is no real need to jump through hoops to just put your left hand on the strings and the right on the fretboard... The brain is a marvelous thing and adapts fast.
I personally went right handed because I had no teacher and needed to teach myself using resources written for right handed people... Gear was an issue too.
All you need is the passion. Everything else comes after it.