I'm not up to speed on handgun loading. When I want to find a powder to cover several calibers, I'll look in a few loading manuals and cross reference to see which powders come up often for both cartridges.
If you don't have any loading manuals, I would try to get at least two before you dive headlong into reloading. Not only do they have the reloading data, they usually have great insight into the processes of reloading. If you plan on using Lee reloading equipment, get Richard Lees "Modern Reloading". It is inexpensive and really covers how to use the equipment. Some folks say that his reloading data isn't the best, but I like to have it to reference.
Looking in my manuals, It looks like Universal, Blue Dot, and TiteGroup come up often in both cartridges.
I'm sure someone will be able to offer first hand experience on the best powder choice.