The frame size is ok, I think. I bike around on my friend's 56cm frame and it feels fine. I feel too stretched out, like I'm leaning too far forward, and looking at my bike I have a feeling I could fix this with either a higher stem or raised handlebars, or both. I'm not committed to riding with drop bars at all and would not mind buying raised bars for the sake of comfort and the health of my bike.

So I'm wondering how one goes about upgrading such components intelligently, and so here I am, asking the internet elders for advice.