How do I play piano with both hands?

The way I was originally taught piano was with a method book. I was very young at the time, but I had a very similar problem. The method book approached it in a way that exercised both hands in a way that slowly moved you up to working with both hands. You can't play very interesting songs, more like "Twinkle Twinkle Little Star", but it'll ease you up to that point. Once you feel more comfortable using both hands with that, then you can move on. Plus, it'll help you use s that are more suitable for the piece.