Fit is always a matter of adjustment and compromise. If there is too much weight on your hands, you can move the seat back a bit, so more of your torso weight is centred above your feet instead of in front of them, but that can lead to you feeling too stretched. Or you can raise your handlebars a bit if you have the option, depending on how your stem is set up. As you get fitter and pedal more steadily, that also takes weight off your hands because the pedal downstroke pushes your body up...in fact during a sprint, pro riders actually have to pull on the handlebars, to keep their head down, rather than lean on them.