In my experience, hand issues can be hard to sort out. It could be a simple matter of finding the right handlebars or gloves, changing out the bar tape to something that's a little more padded, or changing the tilt of the bars or their rise. As counterintuitive as this may sound, moving the saddle back a bit can take pressure off your hands. And, as others have suggested, the proper posture and core strength on a bike are also important.
Start with a professional fitting before doing anything else, especially if you're experiencing any numbness or tingling. Having experienced cycling related nerve issues in my own hands, it's serious stuff.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher