Currently is more painful than you might expect.
If you want to list versions of type bindings for a library, you can do this:
typings info 'dt!node' --versions
This is a good way to determine if there are newer versions. If you re-install the library, it will update the typings.json to the latest:
typings install 'dt!node' --save --global
The problem is now you have two copies of the type bindings, so you’ll get even more errors than when you started. I’ve been able to fix this by deleting the typings folder, and re-running ‘typings install’.