KFN - thanks for the idea.
I think I'll just put my media on a USB thumb drive - cheap, small, easy to transport. Then all I have to do is assign the same drive letter to the thumb drive on both computers. Plug and play!
Fortunately, the database is accessible on both computers using Dropbox. And Dropbox gives me automatic backup to the cloud.
Thanks everyone for the useful ideas and speedy assistance. I probably hit this board about once a decade, and in each instance, I've received quick and useful responses.