I'm assuming you have a straight bar. I'm 53 and have had hand issues a few years ago. two of my bikes have drop bars for more hand positions. For my straight bar bike I added bar ends for multiple hand positions, and eventually an aero bar. I use pipe insulation on my bars, (the foamy type, not the rubbery insulation) and black duct tape to hold it in place. It compacts down after a ride or two and is not as ungainly as it would seem. I have ridden for hours with this setup and no hand issues. When I bought a new drop-bar bike recently, I took my first couple of commutes without the padding. I was fine for a half-hour and then my hands started to ache despite changing positions. The insulation cured that.

About the time I noticed my hands were giving me problems I was playing softball and tried putting Dr. Scholl gel-style heel pads in my batting gloves. I then began putting them in my biking gloves. That worked, but was not as comfortable as the foam. I haven't played softball in a while, but I'm sure they wouldn't allow pipe insulation on the bat.

Ultimately I suppose a recumbentwould relieve most of the pressure on one's hands.